leonswati wrote:If Tom's age is 5 years less than the combined ages of Dick and Harry, what is the sum of the ages of Tom, Dick, and Harry?
1) Two of the people are the same age.
2) Dick is 2 years older than Harry
As per given info: T = ( D + H ) - 5 and we need T + D + H = ?
using statement 1: two of the people have same age: i..e say T = H, => D = 5 but still you can't find the actual age of T or H. if you try T = D or D = H, .. still it's not sufficient.
using statement 2: D = H + 2, that leads to T = 2H - 3 ..here you'll have many possibilities like T = 1 , H =2 or T = 3 , H = 3...etc which will endup different sum for T + D + H!
Hence not sufficient.
combine 1 and 2:
T = D or D = H or H = T, and D = H + 2...using equation: T = ( D + H ) - 5
you endup with different suitable values like : T = D = 7 and H = 5 ; T = H = 3 and D = 5...
still no fixed sum, hence it's not sufficient.
Option : E!
