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The HCF of the two numbers is 145 and their LCM is 2175. If one among the numbers is 725 then what is the other number?

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290

435

None of those

answer is B.

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Detailed Solution

Given that the HCF of the two numbers is 145, their LCM is 2175 and one among the two numbers is 725.
Let the other number be

x .

We know that the product of two numbers equals the product of their HCF and LCM.
Therefore we have,

725 × x = 145 × 2175 ⇒ x = 145 × 2175 725 ⇒ x = 435

Therefore, the other number is 435.
So, option (2) is correct.

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