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1. A woman is 30 times older than her son. 18 years later she will be thrice as old as her son. What is the woman’s present age in years?

  • A. 30
  • B. 30
  • C. 30
  • D. 30

Answer: Option D

Explanation:

Let, the present age of Mira is x

so her sons' present age is x/30

18 year later, the age of Mira will x + 18 and the age of her son will (x/30) + 18

Now, according to the question,

x + 18 = 3{(x/30) + 18}

or, x + 18 = (x/10) + 54

or, 10x + 180 = x + 540 [Multiplying both sides by 10]

or, 10x - x = 540 - 180

or, 9x = 360

or, x = 360/9

or, x = 40.

Ans: The present age of Mira is 40.


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