Question:Two numbers are in the ratio `3 : 4` and the product of their L.C.M. and H.S.C. is `10800`. The sum of the numbers is : 

A `180` 
B `210` 
C `225` 
D `240` 

+ Answer
B 

+ Explanation
Let the numbers be `3x` and `4x`. Then,

`3x xx 4x = 10800`

`iff 12x^2 = 10800`

`iff x^2 = 900`

`iff x = 30`.

`:.` Sum of numbers  `= 7x`

`=7 xx 30`

`= 210`.

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Md. Habib Ullah

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