Question

Present ages of james and paul are in the ratio of 5 : 4 respectively. three years hence, the ratio of their ages will become 11 : 9 respectively. what is paul's present age in years?

Answer 1

let the present age of james is 5x and age of paul is 4x
3 years after
5x+3/4x+3 = 11/9
cross multiplication
45x +27 = 44x + 33
x = 6
so present age of james is 5x = 5*6 = 30
anf of paul is 4x = 4 * 6 = 24

Answer 2

Let the present age of James be 5x
and Paul's be 4x



After three years ,

James age :- ( 5x + 3 )
Paul's age :- ( 4x + 3 )


$\frac{5 x + 3}{4x + 3} = \frac{11}{9}$

45x + 27 = 44x + 33

45x - 44x = 33 - 27

x = 6



Paul's present age is :- 4x
4 × 6 = 24 years .