Question 11

A mother is five times older than her daughter. After 5 years, she would be 3 times older than her daughter. Find the mother's present age.

Solution

Let daughter's present age = $$x$$ years

=> Mother's present age = $$5x$$ years

According to ques, after 5 years,

=> $$(5x+5)=3(x+5)$$

=> $$5x+5=3x+15$$

=> $$5x-3x=15-5$$

=> $$2x=10$$

=> $$x=\frac{10}{2}=5$$

$$\therefore$$ Mother's present age = $$5\times5=25$$ years

=> Ans - (C)

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