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Q.

The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is 30, find the other number.

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a

36

b

37

c

38

d

39

answer is A.

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Detailed Solution

Concept- The two numbers with the lowest common multiple and highest common factor are those with the letters a and b. We are aware that the sum of them is simply the sum of the two numbers. Therefore, we know three of the four variables in the equation. As a result, using only algebraic approaches, we can readily determine the value of the 4th variable.
We are aware that the product of two numbers is equal to their HCF and LCM product.
Let x be a different number.
Question Image

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Hence, the correct answer is option 1.

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