Question
Download Solution PDFThe sum of the ages of X, Y, and Z is 96 years. The ratio of Y's age to Z's age is 2:1. X is 16 years older than Z and 6 years younger than P. What is the age of P?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFWe have,
⇒ Y's age = 2Z (since Y:Z = 2:1)
⇒ X's age = Z + 16
Given: X + Y + Z = 96
⇒ (Z + 16) + 2Z + Z = 96
⇒ 4Z + 16 = 96
⇒ 4Z = 96 − 16 = 80
⇒ Z = 20
Now:
Z = 20
Y = 2Z = 40
X = Z + 16 = 36
Given: X is 6 years younger than P
⇒ P = X + 6 = 36 + 6 = 42
Thus, the correct answer is 42 years.
Last updated on Jun 17, 2025
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