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Question

The HCF of two numbers is 11 and their LCM is 7700. If one of the numbers is 275, find the other.

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Solution

Let the two numbers be x and y.
Given: HCF = 11 and LCM = 7700
Let the value of x be 275.
We know, x × y = 11 ​× 7700
⇒ ∴ 275 ​× y = 84700
⇒ ∴​ y = 84700 = 308
275
Hence, the other number y is 308.

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