The LCM of two number is 48. The number are in the ratio of 2:3. Find sum of the numbers.
Question
The LCM of two number is 48. The number are in the ratio of 2:3. Find sum of the numbers.
Let the numbers be 2x and 3x.
So, their LCM = 6x
However, the LCM is given as 48
∴ 6x = 48
⇒ x=8
Since the given ratio is 2:3
So, the numbers are 16 and 24.
Hence, their sum is 16+24= 40.
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Aptitude