Question

the ratio of the present age of a father to that of the sun is 5:3.Ten years hence the ratio would be 3:2.Find their present ages.​

Answer 1

Step-by-step explanation:

Total ratio = 5 + 3 = 8

                =  3+2 = 5

$\frac{Father}{Son}$⇒$\frac{5x}{3x}$

After 10 yrs = $\frac{5x + 10}{3x + 10} = \frac{3}{2}$

Cross multiply

(5x + 10)2 = (3x + 10)3

= 10x +  20 = 9x + 30

= 10x - 9x = 30 - 20

= 1x = 10

∴ x = 10

Father's age = 5 × 10

                     = 50

Son's age = 3 × 10

                = 30

Answer 2

Answer:

father 50 son 30

Step-by-step explanation:

5x+10/3x+10=3/2

10x+20=9x+30

x=10

father = 50,

son = 30