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Ram is 55 years old and Sam is 25 years old. How many years ago was Ram three times as old as Sam?
Question

Ram is 55 years old and Sam is 25 years old. How many years ago was Ram three times as old as Sam?

A.

7 years

B.

15 years

C.

5 years

D.

10 years

Correct option is D

Given:
Present age of Ram = 55 years
Present age of Sam = 25 years
Solution:
Let x be the number of years ago when Ram was three times as old as Sam.
At that time:
Ram's age would have been 55 - x years.
Sam's age would have been 25 - x years.
According to the question:
55x=3×(25x)55 - x = 3 \times (25 - x)​​
55 - x = 75 - 3x
3x - x = 75 – 55
2x = 20
x = 202\frac{20}{2} ​= 10
x = 10
Thus, 10 years ago, Ram was three times as old as Sam.

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