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The L.C.M of two positive integers is thrice the larger number and the H.C.F of the numbers is 5. The smaller number is?1. 252. 153. 124. 20 |
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Answer» Correct Answer - Option 2 : 15 GIVEN: L.C.M = 3 × Larger number H.C.F = 5 CONCEPT: Numbers = (H.C.F × x) , (H.C.F × y) where x and y are co - prime numbers FORMULA USED: L.C.M × H.C.F = Product of numbers CALCULATIONS: Let the larger number be 5x and the smaller number be 5y. A.T.Q L.C.M = 3 × 5x L.C.M × H.C.F = Product of numbers ⇒ 3 × 5x × 5 = 5x × 5y ⇒ y = 3 ⇒ Smaller number = 5y = 5 × 3 = 15 ∴ The smaller number is is 15. |
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