Mira is 30 times older than her son. 18 years later she will be thrice as old as her son. What is Mira's present age?

A 36
B 40
C 52
D 86

Correct Answer: 40

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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