The LCM of two number is 48. The number are in the ratio 2:3. Then sum of the number is is:
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Let the numbers be 2x and 3x
LCM of 2x and 3x =6x (∵ LCM of 2 and 3 is 6. Hence LCM of 2x and 3x is 6x)
Given that LCM of 2x and 3x is 48
=> 6x=48
=> x=48/6=8
Sum of the numbers
=2x+3x=5x
= 5 × 8 = 40
LCM of 2x and 3x =6x (∵ LCM of 2 and 3 is 6. Hence LCM of 2x and 3x is 6x)
Given that LCM of 2x and 3x is 48
=> 6x=48
=> x=48/6=8
Sum of the numbers
=2x+3x=5x
= 5 × 8 = 40
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