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 ?
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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