Multiple choice

The ratio between the ages of A and B is 2:5. After 6 years, their ages will be in the ratio 1:2. What is the difference between their present ages? A और B की उम्रों के बीच का अनुपात 2 : 5 है। 6 वर्ष पश्चात् उनकी उम्रों का अनुपात 1 : 2 होगा। वर्तमान में उनकी उम्रों का अन्तर क्या है?

  1. 20 years/वर्ष

  2. 16 years/वर्ष

  3. 22 years/वर्ष

  4. 18 years/वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the current ages be 2x and 5x. After 6 years, ages are 2x+6 and 5x+6 with ratio 1:2, so (2x+6)/(5x+6) = 1/2. Cross-multiplying gives 2(2x+6) = 5x+6, so 4x+12 = 5x+6, which means x = 6. Current ages are 12 and 30, so the difference is 18 years.

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