Question 151

If Dennis is $$\frac{1}{3^{rd}}$$ the age of his father Keith now, and was $$\frac{1}{4^{th}}$$ the age of his father 5 years ago, then how old will his father Keith be 5 years from now?

Solution

Let Keith's present age be $$3x$$ years and Dennis's present age be $$x$$ years

=> According to ques,

=> $$(3x-5)=4\times(x-5)$$

=> $$3x-5=4x-20$$

=> $$x=15$$

$$\therefore$$ Keith's age after 5 years = $$3(15)+5=50$$ years

=> Ans - (D)

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