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The Hcf of Two Numbers is 145 and Their Lcm is 2175. If One of the Numbers is 725, Find the Other. - Mathematics

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The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find
the other.

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Solution

HCF of two numbers = 145
LCM of two numbers = 2175
Let one of the two numbers be 725 and other be x.
Using the formula, product of two numbers = HCF × LCM
we conclude that
725 × x = 145 × 2175
x = `(145 ×2175)/ 725`
= 435
Hence, the other number is 435.

Concept: Euclid’s Division Lemma
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