Question

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

Answer 1

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

Answer 2

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

Answer:   B) 41 

Read Description:

Given X = 54 and Y = 80

According to the question,

Let ‘A’ years ago, Y = 3P

=> Y - A/X - 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 Y = 39.