Question
Two numbers are in the ratio of 5:6 and their L.C.M. is
660. Then, what will be the value of the smaller number?Solution
Let the smaller number be 5x and the bigger number be 6x. We are given the L.C.M. of the two numbers is 660. Now, we can use the formula: L.C.M.×H.C.F.=Product of the two numbers From the ratio, the L.C.M. = 30x and we are told L.C.M. = 660. Hence, 30x=660 x=22 So, the smaller number = 5x = 5 × 22 = 110. Therefore, the smaller number is 110.
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