Jayesh is as much younger to Ajay as he is older to Rakesh. If the sum of the…
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Jayesh is as much younger to Ajay as he is older to Rakesh. If the sum of the ages of Ajay and Rakesh is 48 years, what is the age of Jayesh ?
- A.
30
- B.
28
- C.
24
- D.
20
Attempted by 24 students.
Show answer & explanation
Correct answer: C
Let J, A and R be the ages of Jayesh, Ajay and Rakesh respectively.
Translate the statement: "Jayesh is as much younger to Ajay as he is older to Rakesh." This gives A − J = J − R.
Rearrange the equation: A − J = J − R ⇒ A + R = 2J.
Use the given sum A + R = 48, so 2J = 48 ⇒ J = 24.
Answer: 24 years.