Question 177

In a family, mother’s age is twice that of daughter’s age. Father is 10 years older than mother. Brother is 20 years younger than his mother and 5 years older than his sister. What is the age of the father ?

Solution

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

=> Mother's age = $$2x$$ years

Thus, father's age = $$(2x+10)$$ years

=> Brother's age = $$(2x-20)$$ years ------------(i)

Also, brother's age = $$(x+5)$$ years ----------(ii)

From equation (i) and (ii),

=> $$2x-20=x+5$$

=> $$2x-x=20+5$$

=> $$x=25$$

$$\therefore$$ Father's age = $$2(25)+10=60$$ years

=> Ans - (B)

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