Question

The ages of Amit and Sumit are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?​

Answer 1

Answer:

Let the age of Amit be 5x years and that of Sumit be 7x years.

4 years later, their ages will be (5x + 4), and (7x + 4), respectively.

B.T.P.

(5x + 4) + (7x + 4) = 56

⇒ 5x + 4 + 7x + 4 = 56

⇒ 12x + 8 = 56

⇒ 12x + 8 - 8 = 56 - 8 (subtracting 8 from both sides.)

⇒ 12x = 56

⇒ x = 56/12 = 14/3 = 4$\frac{2}{3}$