Question 16

A father is 5 times as old as his son. His son is 6 year old. After how many years, will the father be 4 times as old as his son ?

Solution

Son's age = 6 years

=> Father's age = $$5\times6=30$$ years

Let after $$x$$ years, father will be four times as old as his son.

=> $$(30+x)=4(6+x)$$

=> $$30+x=24+4x$$

=> $$4x-x=30-24$$

=> $$3x=6$$

=> $$x=\frac{6}{3}=2$$

$$\therefore$$ After 2 years, father will be four times as old as his son.

=> Ans - (A)

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