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Question

The Lcm of two numbers is 48. If their ratio is 2:3, find their sum

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Solution

Let 2x & 3x be the numbers their L.C.M will be 6x

But their L.C.M is given = 48

⇒6x = 48

⇒x=8

So, the numbers are 2*8 i.e 16 & 3*8 i.e 24

Hence the sum of numbers = 16+24 =40


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