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The product of two numbers is 4107. If the HCF of these numbers is 37, then the greater number is:
Question

The product of two numbers is 4107. If the HCF of these numbers is 37, then the greater number is:

A.

111

B.

74

C.

185

D.

37

Correct option is A

Given:
The product of two numbers is 4107.
The HCF (Highest Common Factor) of these numbers is 37.
Formula Used:
The relation between the product of two numbers, their HCF, and LCM (Least Common Multiple) is given by:
Product of two numbers = HCF × LCM 
Solution:
Numbers can be 37a and 37b.
37a × 37b = 4107
1369ab = 4107
ab = 3
Thus, the ordered pair of (a, b) is (1, 3)
Numbers are 37 and 111

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