unreality 1 Posted July 11, 2007 Report Share Posted July 11, 2007 Insane Math: My age, which plus yours is 86, is 15/16 the age you will be when I am 9/16 the age you would be if you were twice as old as I will be when I am twice your age. How old am I and how old are you? Quote Link to post Share on other sites

0 Guest Posted July 11, 2007 Report Share Posted July 11, 2007 is it 35.5 and 50.5 Quote Link to post Share on other sites

0 Guest Posted July 11, 2007 Report Share Posted July 11, 2007 Wow. I needed a spreadsheet to figure this one out. I got Your age = 33 137/319 My age = 52 182/319 I had 6 variables, 5 equations from the problem, and another logical equation. I'm double checking my answer... Quote Link to post Share on other sites

0 unreality 1 Posted July 11, 2007 Author Report Share Posted July 11, 2007 its 75 and 11 Quote Link to post Share on other sites

0 unreality 1 Posted July 11, 2007 Author Report Share Posted July 11, 2007 Insane Math: My age, which plus yours is 86, is 15/16 the age you will be when I am 9/16 the age you would be if you were twice as old as I will be when I am twice your age. How old am I and how old are you? How to Solve: Untangle the problem... 1. One day I will be 2x and you will be x |----------|-----| .......me(2x)....you(x) So I am always older than you by x years 2. When you are twice 2x, I am 5x, so when you are 4x I am 5x (duh, cuz I'm always x ahead of you). And when I am 9/16 of your 4x, I am 2.25x and you are 1.25x (again, I'm always x ahead of you). |-----------|------| .......me(2.25x)....you(1.25x) 3. When I am 15/16 of your 1.25x, I am 75x/64 (or x*75/64) and you are 11x/64 (or x*11/64) I am 75 and you are 11, it adds to 86 Quote Link to post Share on other sites

0 unreality 1 Posted July 11, 2007 Author Report Share Posted July 11, 2007 i'm not actually 75 lol, i'm way closer to 11 than to 75 and ur probably older than 11... but the "me and you" is all figurative lol. i'm not some old geezer Quote Link to post Share on other sites

0 unreality 1 Posted July 11, 2007 Author Report Share Posted July 11, 2007 Now you know how to solve these kinds of problems... If I am twice as old as you were when I was your age, and when you are my age the sums of our ages will be 63, how old am I now and how old are you? Quote Link to post Share on other sites

0 unreality 1 Posted July 11, 2007 Author Report Share Posted July 11, 2007 in case anyone didn't get how i solved the problem, u start at the back of the problem and work backwards. Do the same with this second problem. Quote Link to post Share on other sites

0 Guest Posted July 11, 2007 Report Share Posted July 11, 2007 did you write this problem yourself? Quote Link to post Share on other sites

0 unreality 1 Posted July 11, 2007 Author Report Share Posted July 11, 2007 nope i saw it in a book... i hardly even get the answer mate ;D Quote Link to post Share on other sites

0 Guest Posted July 11, 2007 Report Share Posted July 11, 2007 the age you would be if you were twice as old as I will be when I am twice your age. My mistake was thinking "your age" was your age today, not the age you would be the year I was twice as old as you. Quote Link to post Share on other sites

0 unreality 1 Posted July 11, 2007 Author Report Share Posted July 11, 2007 ahh, yeah Quote Link to post Share on other sites

0 Guest Posted August 4, 2007 Report Share Posted August 4, 2007 Now you know how to solve these kinds of problems... If I am twice as old as you were when I was your age, and when you are my age the sums of our ages will be 63, how old am I now and how old are you? never saw`an answer to this one so... 27 and 18 Quote Link to post Share on other sites

0 unreality 1 Posted August 4, 2007 Author Report Share Posted August 4, 2007 that doesnt add up to 63... Quote Link to post Share on other sites

0 Guest Posted August 4, 2007 Report Share Posted August 4, 2007 that doesnt add up to 63... The condition states: "and when you are my age the sum of our ages will be 63." At that time their ages will be 36 and 27 which adds up to 63. Quote Link to post Share on other sites

0 Guest Posted August 5, 2007 Report Share Posted August 5, 2007 Insane Math: My age, which plus yours is 86, is 15/16 the age you will be when I am 9/16 the age you would be if you were twice as old as I will be when I am twice your age. How old am I and how old are you? that doesnt add up to 63... The condition states: "and when you are my age the sum of our ages will be 63." Huh? Are we reading the same puzzle? It states (bolding mine), "My age, which plus yours is 86". Checking unreality's answer of 75 and 11 working backwards: "when I am twice your age": In 53 years, I will be 128 and you will be 64. "if you were twice as old as I will be when I am twice your age": If you were twice as old as 128, you'd be 256 "when I am 9/16 the age you would be": 9/16 of 256 is 144. When I'm 144, you'll be 80 "15/16 the age you will be": 15/16 of 80 is 75. I am 75. 'My age, which plus yours is 86": 86 minus 75 is 11. You are 11 Quote Link to post Share on other sites

0 Guest Posted August 5, 2007 Report Share Posted August 5, 2007 Now you know how to solve these kinds of problems... If I am twice as old as you were when I was your age, and when you are my age the sums of our ages will be 63, how old am I now and how old are you? After unreality answered the original problem he(she) (sorry i don't know him/her) wrote this problem! Quote Link to post Share on other sites

0 Guest Posted August 5, 2007 Report Share Posted August 5, 2007 Now you know how to solve these kinds of problems... If I am twice as old as you were when I was your age, and when you are my age the sums of our ages will be 63, how old am I now and how old are you? After unreality answered the original problem he(she) (sorry i don't know him/her) wrote this problem! Ahh, I see. I'll take a look at that one now. Quote Link to post Share on other sites

0 Guest Posted August 5, 2007 Report Share Posted August 5, 2007 If I am twice as old as you were when I was your age, and when you are my age the sums of our ages will be 63, how old am I now and how old are you? You are 28 and I'm 21. Quote Link to post Share on other sites

0 Guest Posted August 5, 2007 Report Share Posted August 5, 2007 If I am twice as old as you were when I was your age, and when you are my age the sums of our ages will be 63, how old am I now and how old are you? You are 28 and I'm 21. your answer doesn't fit the first condition. it does fit the second tho. Quote Link to post Share on other sites

0 Guest Posted August 5, 2007 Report Share Posted August 5, 2007 your answer doesn't fit the first condition. it does fit the second tho. Sure it does. "If I am twice as old as you were when I was your age" When the speaker was 21, I was 14. He is now 28, which is twice 14. Quote Link to post Share on other sites

0 Guest Posted August 5, 2007 Report Share Posted August 5, 2007 Well done! Sorry I read the "am" as "was". Quote Link to post Share on other sites

0 Guest Posted March 5, 2008 Report Share Posted March 5, 2008 nope i saw it in a book... i hardly even get the answer mate ;D yeah, and you've helped me waste 2 hours of my life (paid time b/c i'm at work!). i'm making some kind of mistake on your second problem. maybe you can point it out for me. i am 2x and you are x (i'm pretending i'm the one proposing the question. sorry for the confusion). when you are my age, 2x, i will be 3x (because i'm x years older than you) our combined age, 5x, equals 63 years x equals 12.6 2x equals 25.2, your age. 3x equals 37.8, my age. 25.2 plus 37.8 equals 63. i guess i was expecting nice round numbers. did i get this wrong? where's my mistake? Quote Link to post Share on other sites

0 Guest Posted March 5, 2008 Report Share Posted March 5, 2008 Sure it does. "If I am twice as old as you were when I was your age" When the speaker was 21, I was 14. He is now 28, which is twice 14. oops. i guess that's it. i was thinking "if i am twice as old as you are when I was your age." i like math problems, but i hate written problems that make you think, and think, umm and think... can you post a description of how you analyzed and solved that problem...so i don't have to hurt my brain trying to turn it into equations. please. =) Quote Link to post Share on other sites

0 Guest Posted July 30, 2008 Report Share Posted July 30, 2008 can you post a description of how you analyzed and solved that problem...so i don't have to hurt my brain trying to turn it into equations. please. =) I realize the last post to this thread is pretty old, but I've been dying to unload my solution so here goes. Let x_{1} = My age now Let y_{1} = Your age now Let x_{2} = My age when you are my age Let y_{2} = Your age when you are my age (in otherwords, my age now -- x_{1}). unreality's original problem: "If I am twice as old as you were when I was your age, and when you are my age the sums of our ages will be 63, how old am I now and how old are you?" Work backwords. We know that "... when you are my age the sums of our ages will be 63." Thus, x_{2} + y_{2} = 63 Now solve for x_{2}: x_{2} = x_{1} + (x_{1} - y_{1}) --> my age now + the time difference between my age and your age We know that y_{2} = x_{1}, so now we can replace the two variables in the first equation. (x_{1}) + (x_{1} + (x_{1} - y_{1})) = 63 Simplify: 3x_{1} - y_{1} = 63 Now that that is set up, move onto the first part of the problem: "...I am twice as old as you were when I was your age..." Your age when I was your age --> y_{1} - (x_{1} - y_{1}) --> 2y_{1} - x_{1} Thus, x_{1} = 2(2y_{1} - x_{1}) --> x_{1} = 4y_{1} - 2x_{1} Now solve for y_{1} (you can solve for either but I choose y_{1}). 3x_{1} = 4y_{1} --> y_{1} = 3/4x_{1} Now you can replace the y_{1} in the first simplified equation: 3x_{1} - 3/4x_{1} = 63 You're down to one variable. Solve it out and x_{1} = 28. Now substitute to solve for y_{1}. y_{1} = 3/4(28) which makes y_{1} equal to 21. I am 28 and you are 21. Hope that wasn't too long and overcomplicated, and I really hope somebody is still watching this topic. Please post back if it makes sense now or needs more clarification. Thanks, Jeff Quote Link to post Share on other sites

0 Guest Posted September 20, 2008 Report Share Posted September 20, 2008 42 and 21? Quote Link to post Share on other sites

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## unreality 1

Insane Math:

My age, which plus yours is 86, is 15/16 the age you will be when I am 9/16 the age you would be if you were twice as old as I will be when I am twice your age. How old am I and how old are you?

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