Multiple choice

The sum of the ages of two men is 85. Five years ago the difference between their ages was 1/9 of the present age of the elder. The elder's present age is. दो व्यक्ति की आयु का योग 85 है। पांच वर्ष पहले उनकी आयु का अन्तर बड़े की वर्तमान आयु का 1/9 है। तो बड़े की वर्तमान आयु क्या है?

  1. 55 years/वर्ष

  2. 45years/वर्ष

  3. 42.5 years/वर्ष

  4. 47.5 years/वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let elder's age = E, younger's age = Y. E+Y=85. Five years ago: (E-5)-(Y-5)=E-Y=E/9. Substituting Y=85-E: E-(85-E)=E/9, giving 2E-85=E/9, so 18E-765=E, meaning 17E=765, E=45. Verify: Y=40, difference=5, and 5=45/9.

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