Question 61

Two years ago, Aadhya was three times as old as his son and two years hence, twice her age will be equal to five times that of her son. Find Aadhya's present age.

Solution

Let Aadhya's son's age 2 years ago = $$x$$ years

=> Aadhya's age 2 years ago = $$3x$$ years

According to ques,

=> $$2(3x+4)=5(x+4)$$

=> $$6x+8=5x+20$$

=> $$6x-5x=20-8$$

=> $$x=12$$

$$\therefore$$ Aadhya's present age = $$3(12)+2=36+2=38$$ years

=> Ans - (A)

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