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The LCM of two numbers is 105 and numbers are in ratio 5 : 3. Find sum of numbers.
Question

The LCM of two numbers is 105 and numbers are in ratio 5 : 3. Find sum of numbers.

A.

65

B.

94

C.

49

D.

56

Correct option is D

Given:
Numbers = 5k and 3k
LCM = 105
Solution:
LCM of 5k and 3k = 15k
15k = 105
k = 10515\frac{105 }{ 15}​ = 7
Numbers = 5k = 35 and 3k = 21
Sum = 35 + 21 = 56

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