Question

The ratio between the present ages of p and q is 5:8 after 4 years the ratio between there ages will be 2:3 what is age of q at present

Answer 1

Step-by-step explanation:

let, the present ages of p is 5x

" " " " q " 8x

After 4 years , the ages in the ratio will be ( 5x + 4)

(8x + 4)

Therefore, the ratio of their ages after four years = 5x + 4/ 8x +4

This is given to be 2:3

Therefore, 5x + 4 / 8x + 4 = 2/3

=2(8x+4)=3(5x+4)

=16x + 8= 15x + 12

=16x-15x = 12-8

x=4

present ages of p = 5x

=5 multiply by 4

= 20 years

present ages of q =8x

=8 multiply by 4

=32