Three years ago, the respective ratio between A?s age at that time and B?s age at that time was 9 : 5. If A?s age two years hence will be 1… — Answer & Discussion

Three years ago, the respective ratio between A?s age at that time and B?s age at that time was 9 : 5. If A?s age two years hence will be 17 years more than B?s age five years hence, what is B?s present age?

A26 years
B27 years
C28 years
D24 years

Answer not set

Join the discussion Report an error

Discussion 1

CCommunity22 May 2019

Solution
Let present ages of A and B = $x$ years and $y$ years respectively.
=> $\frac{x - 3}{y - 3} = \frac{9}{5}$
=> $5x - 15 = 9y - 27$
=> $5x - 9y = -12$ --------------(i)
Also, $(x + 2) = 17 + (y + 5)$
=> $x - y = 20$ --------------(ii)
Multiplying eqn(ii) by 5 and then subtracting (i) from it, we get :
=> $(5x - 5x) + (9y - 5y) = 100 + 12$
=> $y = \frac{112}{4} = 28$ years