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