The ratio between two numbers is 3 : 4 . If their LCM is

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The ratio between two numbers is 3 : 4 . If their LCM is 120, find the numbers .

1. 35 and 40
2. 25 and 35
3. 25 and 30
4. 30 and 40

Correct Option: D

Let the numbers be 3x and 4x .
Then , LCM of 3x and 4x
= 3 × 4 × x = 12x
∴ 12x = 120
⇒ x = 10
So the numbers are 3x
= 3 × 10 = 30 and,
4x = 4 × 10 = 40