Question:
The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other.
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
$x=\frac{145 \times 2175}{725}$
= 435
Hence, the other number is 435.
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