Question
Download Solution PDFThree-fifths of my current age is the same as five-sixths of that of one of my cousins’. My age ten years ago will be his age four years hence. My current age is ______ years.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet my current age = x years and my cousin’s age = y years.
Three-fifths of my current age is the same as five-sixths of that of one of my cousins’,
⇒ 3x/5 = 5y/6
⇒ 18x = 25y
My age ten years ago will be his age four years hence,
⇒ x – 10 = y + 4
⇒ y = x – 14,
⇒ 18x = 25(x – 14)
⇒ 18x = 25x – 350
⇒ 7x = 350
∴ x = 50 yearsLast updated on Jun 2, 2025
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