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.
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.
$$\therefore$$ 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.
$$\therefore 3x = 27$$
$$\Rightarrow x = 9$$
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.