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Question
Two numbers are in the ratio 4 : 7. If their L.C.M. is 168, find the numbers.
Solution
Given, Ratio in two numbers = 4:7
and their L.C.M. = 168
Let first number = 4x
and second number = 7x
Now, L.C.M. of 4x and 7x
= 4 × 7 × x = 28x
∴ 28x = 168
x = `168/28`
x = 6
∴ Required numbers = 4x and 7x = 4 x 6 = 24 and 7 x 6 = 42
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