laxmiacharya382 laxmiacharya382

10-04-2021
Mathematics

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The ratio between two numbers i 3 : 4. If their L.C.M. is 180, find the numbers.

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hoangngocgiaphuc hoangngocgiaphuc

12-04-2021

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

12[tex]x^{2}[/tex] =180x

12x=180

x=15

3x=3×15=45

4x=4×15=60

Therefore the numbers are 45 and 60.

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