Iqra is 4 times as old as her daughter. After 12 years, the sum of their ages will be 69 years. What is the present age of Iqra?

Iqra is 4 times as old as her daughter. After 12 years, the sum of their ages will be 69 years. What is the present age of Iqra?

Explanation

Let daughter's age be x → Iqra's age = 4x

After 12 years:

→ Daughter's age = x + 12, Iqra's age = 4x + 12

→ Total = (x + 12) + (4x + 12) = 5x + 24 = 69

→ 5x = 45 → x = 9

→ Iqra’s age = 4 × 9 = 36 years