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Q.

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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a

290

b

435

c

5

d

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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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?