Question

The present age difference between father and son
is 14 years. The ratio of their age will be 4:3
after 11 years. How old is son now?
(1) 25 yrs
(2) 31 yrs
(3) 30 yrs
(4) 28 yrs
, then the solution is​

Answer 1

let son is x

father y

x-y=14

$\frac{x + 11}{y + 11 } = \frac{4}{3}$

$3 \times (x + 11)= 4 \times (y + 11)$

$3x + 33 = 4y+ 44 \\ \\ \\ 3x - 4y = 44 - 33 \\ \\ 3x - 4y = 11$

$(x - y = 14)3$

$3x - 3y = 42$

$3x - 3y - 3x + 4y = 42 - 11$

$y = 31$

answer is 31 years