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Brother of Ages (Posted on 2006-07-03) Difficulty: 1 of 5
If I was 7 when my sister was 16 and my brother was 8 when she is 19 how many more years will it take my brother to reach 21 when I'm 13?

No Solution Yet Submitted by Rachael    
Rating: 3.0000 (3 votes)

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Solution An Algebraic Resolution | Comment 3 of 8 |

Let the respective ages of the individual, individual's brother and individual's sister ( in years) be P, B and S.
Accordingly, P-7 = S -16; B- 8 = S - 19 , giving:
S = P + 9 = B+11, so that; B = P-2.
Substituting P =13 yields B =11.
Consequently, It will take 21 - 11 = 10 years for the brother to reach  21 years when the individual is 13 years old.

 


  Posted by K Sengupta on 2006-07-03 12:03:55
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