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Question

Two numbers are in the ratio 3:4. If their LCM is 180, find the numbers.

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Solution

Let the two numbers be 3x and 4x and HCF be x
We know that
Product of two number=Product of their LCM and HCF
So,
4x×3x=180×x
12x2=180x
12x=180
x=15
3x=3×15=45
4x=4×15=60
Therefore the numbers are 45 and 60.

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