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The sum of the ages of Arun and Bharti is 24 years such that Arun is older. If the age of Arun and Bharti is doubled the difference is 8 years. What i
Question

The sum of the ages of Arun and Bharti is 24 years such that Arun is older. If the age of Arun and Bharti is doubled the difference is 8 years. What is the age of Arun in years?

A.

28

B.

10

C.

16

D.

14

Correct option is D

Given:
The sum of the ages of Arun and Bharti is 24 years.

If the age of Arun and Bharti is doubled, the difference between their ages is 8 years.
Solution:

Let's denote the age of Arun as A and the age of Bharti as
A + B = 24...........(1)
2A - 2B = 8

A- B = 4.................(2)
Add the two equations

(A - B) + (A + B) = 4 + 24.
2A = 28

A = 14.

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