Sweety is 54 years old and her mother is 80. How many years ago was Sweety's mother three times her age?

A 20

B 41

C 26

D 33

Solution

Correct Answer: Option B

Given P = 54 and M = 80

According to the question,

Let ‘A’ years ago, M = 3P

=> M - A/P - A = 3

=> 80 - A = 3(54 - A)

=> 80 - A = 162 - 3A

=> 2A = 82

=> A = 41

Therefore, A = 41 years ago Sweety’s mother was 3 times of Sweety’s age.

Hence, at the age S = 13 and M = 39.

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