X is as much younger to Y as he is older to Z. If the sum of the ages of Y and Z is 36 years. What is…

"As much younger to Y as older to Z" means \(Y-X = X-Z\), so \(2X = Y+Z\). Given \(Y+Z=36\), we get \(2X=36\) and \(X=18\). Hence X is 18 years old.

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X is as much younger to Y as he is older to Z. If the sum of the ages of Y and Z is 36 years. What is the age of X?

Answer and explanation

Correct answer C

"As much younger to Y as older to Z" means

Y-X = X-Z

, so

2X = Y+Z

. Given

Y+Z=36

, we get

2X=36

and

X=18

. Hence X is 18 years old.