Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of two number is

Virat Bhati • 7.23K Points
Tutor III Math

Q. Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of two number is

(A) 100
(B) 80
(C) 60
(D) 50

Correct Answer - Option(C)

Explanation by: Virat Bhati

Let, these two numbers be 3x and 4x then their LCM = 12x
Now, according to question,
12x = 240
Or, x = 20
Thus, the numbers are (3x = 3 × 20) = 60 and (4x = 4 × 20) = 80
Then smaller in this two is 60

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