Jump to content
BrainDen.com - Brain Teasers
  • 0

How Old Are They Now?


Guest

Question

Eight years ago, Verizon Wireless was half as old as Sprint will be when Sprint is one year older that AT&T will be five times as old as AT&T will be two years from now.

Ten years from now AT&T will be twice as old as Sprint was when Verizon Wireless was nine times as old as AT&T

When AT&T was one year old, Verizon Wireless was three years older than AT&T will be when Sprint is three years older than AT&T will be when Sprint is there times as old as Verizon Wireless was six years before the time when Sprint was half as old as AT&T will be when Verizon Wireless will be ten years older than Verizon Wireless was when Sprint was one-third as old as AT&T will be when Verizon Wireless will be three times as old as it was when Sprint was born.

How old are they now?

Link to post
Share on other sites

5 answers to this question

Recommended Posts

  • 0

Ages now: AT&T=A; Sprint=S; Verizon Wireless=V.

Eight years ago, Verizon Wireless was

half as old as Sprint will be when Sprint is

one year older that [than?] AT&T will be [when it is?]

five times as old as AT&T will be two years from now.

[V-8] = 1/2 [1 + 5*(A+2)]

Ten years from now AT&T will be

twice as old as Sprint was

when Verizon Wireless was nine times as old as AT&T let x satisfy [V-x] = 9[A-x]

[A+10] = 2[s-x]

When AT&T was one year old, let u satisfy [A-u] = 1

Verizon Wireless was three years older than AT&T will be let z satisfy [V-u] = 3 + [A+z]

when Sprint is three years older than AT&T will be let w satisfy [s+z] = 3 + [A+w]

when Sprint is there [three?] times as old as Verizon Wireless was let y satisy [s+w] = 3[V-y]

six years before the time when Sprint was half as old as AT&T will be let q satisfy [s-(6+y)] = 1/2[A+q]

when Verizon Wireless will be ten years older than Verizon Wireless was let t satisfy [V+q] = 10 + [V-t] -> q = 10-t

when Sprint was one-third as old as AT&T will be let m satisfy [s-t] = 1/3[A+m]

when Verizon Wireless will be three times as old as it was when Sprint was born. [V+m] = 3[V-S] -> m= 2V-3S

How old are they now?

Eleven variables: A, S, V, x, u, z, w, y, q, t, m

Eleven equations:

[ 1] 2[V-8] = 1 + 5[A+2]

[ 2] V-x = 9[A-x]

[ 3] A+10 = 2[s-x]

[ 4] A-u = 1

[ 5] V-u = 3 + A+z

[ 6] S+z = 3 + A+w

[ 7] S+w = 3[V-y]

[ 8] 2[s-6-y] = A+q

[ 9] q=10-t

[10] 3[s-t] = A+m

[11] m = 2V-3S

piece of cake.

Back later with the solution.

If you're reading this and this is the latest post, have a crack at them.

Link to post
Share on other sites
  • 0

Wondering what happened to the spoiler tag in previous post, and why I can't edit it to fix. :o

First statement in OP is not a well formed sentence, so it's meaning is not certain.

Eight years ago, Verizon Wireless was half as old as Sprint will be when Sprint is one year older that AT&T will be five times as old as AT&T will be two years from now
So the 11 equations in previous post are uncertain as well.

They reduce to


13A -8S -V = -40
6A -16S +8V = -60
5A	 - 2V = -27

which have the unlikely solutions

S = 64/11

A = 21/11

V = 201/11

Which is where I'll leave it, as I have dinner to eat. It's solved in principle.

Which is to say,

A, S and V are correct, [but the constants may be wrong] ;)

Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

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

Loading...
  • Recently Browsing   0 members

    No registered users viewing this page.

×
×
  • Create New...