Q6 of 59 Page 61

The ratio of ages of Abha and her mother is 2 : 5. At the time of Abha's birth her mother’s age was 27 year. Find the present ages of Abha and her mother.

Let age of Abha = x years


∴ Age of Abha’s mother at her birth = (x + 27) years


Ratio of Abha’s and her mother’s age = 2:5




Cross multiply and get:


5x = 2(x + 27)


⇒ 5x = 2x + 54


⇒ 5x – 2x = 54


⇒ 3x = 54


⇒ x = 54/3


⇒ x = 18


∴ Age of Abha = 18 years


Age of Abha’s mother = 18 + 27 = 45 years


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