BrainDen.com - Brain Teasers
• 0 ## Question Jill is 5 years older than 3 times as old as Ian. In ten years, Jill will be 4 times as old as Ian. How old are they both now?

## Recommended Posts

• 0 15 and 50

##### Share on other sites
• 0 Jill is 5 years older than 3 times as old as Ian. In ten years, Jill will be 4 times as old as Ian. How old are they both now?

Shouldn't it be as Ian is now? Or else it would be impossible.

But 15 and 50

##### Share on other sites
• 0 Shouldn't it be as Ian is now? Or else it would be impossible.

But 15 and 50

I agree with you, zee.

##### Share on other sites
• 0 this one is killing me- in high school we would have ones like this- ugh- we had powerful calculators as well....

##### Share on other sites
• 0 Jill would be -70, and Ian -25 years old. In 10 years, Jill will be -60 and Ian -15.

If Ian's age is constant, Ian is 15, so Jill would be 50 and then 60.

Jill is 5 years older than 3 times as old as Ian. In ten years, Jill will be 4 times as old as Ian. How old are they both now?

##### Share on other sites
• 0 JIll's age=-70yrs.

##### Share on other sites
• 0 Ummmmmm. . . I got

Ian=5

Jill=20

I guess I could have messed up, but here's my math:

J=Jill E=Ian (so it won't look like ones)

J=3E+5

J+10=4E+10 (+10 Because of "in ten years") Then substitute

3E+5+10=4E+10 Then combine like terms

3E+15=4E+10

-10 -10

3E+5=4E

-3E -3E

5=Ian's Age Then substitute again

J=3(5)+5

J=15+5

J=20

Edited by Sharpie357

##### Share on other sites
• 0 the problem with you math comes when you look at the statement - in ten years Jill will be four times Ian's age

If Ian = 5 and Jill = 20 then in ten years

Jill = 30 and that is not 4 times Ian's 15

The second equation should have been

Jill + 10 = 4 (Ian + 10) and then you have to distribute and then

Ian = -25 and Jill = -70 which is 5 more than three times Ian's age

and in 10 years

Ian = -15 and Jill = -60 which is four times Ian's age

##### Share on other sites
• 0 Oh. . . . oops. . . . . . . . ## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account. ×   Pasted as rich text.   Paste as plain text instead

Only 75 emoji are allowed.

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

×