Question

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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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