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

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430

435

436

433

answer is B.

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Detailed Solution

Given that LCM and HCF of two numbers are 2175 and 145 respectively, one of the numbers is 725.
The smallest positive number that is a multiple of two or more numbers is the LCM of a given number.
The largest or greatest factor that any two numbers have in common is called the HCF.
The product of two numbers' HCF and LCM is the same as the product of the two numbers themselves.
Let x be the second number.

L C M × H C F = product of numbers ⇒ 2175 × 145 = 725 × x

⇒ x = 2175 × 145 725 ⇒ x = 435

Thus, the second number is 435.
Hence the correct option is 2.

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