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Age of ages (2) (Posted on 2022-01-08) Difficulty: 3 of 5
Determine the present ages of each of the three siblings Toby, Julie and Melanie from the following clues:
  1. 10 years from now Toby will be twice as old as Julie was when Melanie was 9 times as old as Toby.
  2. 8 years ago, Melanie was half as old as Julie will be when Julie is 1 year older than Toby will be at the time when Melanie will be 5 times as old as Toby will be 2 years from now.
  3. When Toby was 1 year old, Melanie was 3 years older than Toby will be when Julie is 3 times as old as Melanie was 6 years before the time when Julie was half as old as Toby will be when Melanie will be 10 years older than Melanie was when Julie was one-third as old as Toby will be when Melanie will be 3 times as old as she was when Julie was born.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
checking.... | Comment 4 of 6 |
( 10 Jan - still checking. Found more errors in implementation of Statement 3. I hope to get a new answer very soon.) 

Checking my solution. If one accepts such nonsense as negative years ago (= future years) and negative years ahead (past years) and negative ages, the "solution" I found checks for statement 1 and 2.

lord@rabbit 12519 % che            
   J       M      T      P1    P2     P3     F1    F 2    F3    F4    F5
  0.1   3.6  -2.7  -3.5 -18.1 -11.9  -9.0  -7.1   7.0  21.9   6.7

Statement 1 Check
------------------------------
 statement 1
10 years from now T is   7.3
and if we go 'back'  -3.5 years
 M was   7.1
  7.3 is twice as old as julie   3.6
and then M 'was'   7.1
 which is nine times what t 'was'   0.8
  C1 C2 C3 =    40.0000000       27.0000000      -27.9999962    
  = 40 27 -28 ?

Statement 2 Check
------------------------------
In 2 yrs T is  -0.7 In,  -7.1 yrs, M will be  -3.6 years, which is 5 times older
 At that time,  -7.1 from now, T will be  -9.9
 and  -9.0 years from now, Julie will be will one year 
 older than that age, at  -8.9 years
8 years ago M was  -4.4 which is half of
Julie's previously quoted age.

Statement 3 Check
------------------------------
 in   6.7 yrs m will be  10.3 which is 3 x her age at julie's birth   3.4
lord@rabbit 12519 % 

Edited on January 10, 2022, 5:36 am
  Posted by Steven Lord on 2022-01-09 15:30:48

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