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Question
The ratio of ages of Abha and her mother is 2 : 5. At the time of Abha's birth her mothers age was 27 year. Find the present ages of Abha and her mother.
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Solution
The ratio of the present ages of Abha and her mother is 2 : 5.
Let the present age of Abha and her mother be 2x years and 5x years, respectively.
∴ Abha's mother age at the time of Abha's birth = 5x − 2x = 3x years
It is given that at the time of Abha's birth her mothers age was 27 year.
∴ 3x = 27
⇒ x = 9
∴ Present age of Abha = 2x = 2 × 9 = 18 years
Present age of Abha's mother = 5x = 5 × 9 = 45 years
Thus, the present age of Abha and her mother is 18 years and 45 years, respectively.
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