Question 122

X’s age 3 years ago was three times the present age of Y. At present, Z’s age is twice the age of Y. Also Z is 12 years younger than X. What is the present age of Z?

Solution

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

=> Z's present age = $$2x$$ years

=> X's present age = $$(3x + 3)$$ years

Acc. to ques, => $$2x + 12 = 3x + 3$$

=> $$3x - 2x = 12 - 3$$

=> $$x = 9$$

$$\therefore$$ Present age of Z = $$2 \times 9 = 18$$ years

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