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?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 14
Let the ages of Arun and Bharti be A and B respectively.
ATQ -
A + B = 24 ...(1
2A - 2B = 8 ...(2
Multiply eq(1 by 2 -
2A + 2B = 48 ...(3
Adding eq(2 and (3 -
2A - 2B + 2A + 2B = 48 + 8
4A = 56
A = 14 years