Question

4. The sum of the ages of a father and his son is 45 years and ratio of their ages is
7:2. Find their ages.

Father___years
Son___years​

Answer 1

★ Solution ↓

Let their ages be 7x and 2x, then

→ 7x + 2x = 45

→ 9x = 45

→ x = $\dfrac{45}{9}$

→ x = 5 (Ans)

Therefore,

Age of father = 7x = 7(5) = 35 years

Age of son = 2x = 2(5) = 10 years

★ Verification ↓

→ 35 + 10 = 45

→ 45 = 45

→ LHS = RHS

Hence, verified.