1.

The L.C.M of two numbers is 48. The numbers are in the ratio of 2 : 3.Find the sum of the two number.1. 102. 203. 304. 40

Answer» Correct Answer - Option 4 : 40

GIVEN:

L.C.M = 48 and the numbers are in the ratio 2 : 3

FORMULA USED:

Product of the two numbers = L.C.M × H.C.F

CALCULATION:

Let the H.C.F of the two numbers be x

⇒ The numbers are 2x and 3x and LC.M is 48

⇒ Product of the two numbers = L.C.M × H.C.F

⇒ 2x × 3x = 48 × x

⇒ x = 8

⇒ Numbers are 2 × 8 = 16 and 3 × 8 = 24

∴ Sum of the two numbers = 16 + 24 = 40



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