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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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Question

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

Sum
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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 xx 2175)/725`

= 435

Hence, the other number is 435.

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Chapter 1: Real Numbers - EXERCISE 1B [Page 17]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1B | Q 9. | Page 17
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