Exams › SSC CGL (Prelims) › General

Two numbers are in the ratio 3 : 5, and their LCM exceeds their HCF by 42. Find the larger of the two numbers.

1. 18
2. 12
3. 15
4. 9

Correct answer: 15

Solution

Let the two numbers be 3k and 5k where k is the HCF. Their LCM is 15k. Given LCM - HCF = 15k - k = 14k = 42, so k = 3. The numbers are 9 and 15; the larger is 15.

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