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Bunuel
The GCD of two numbers is 20 and the LCM is 840. One of the numbers is 120. What is the other number?

(A) 140
(B) 120
(C) 40
(D) 20
(E) 10
\(\frac{20*840}{120} =140\), Answer must be (A)
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Theory

    ➡ Product of two numbers = Product of their LCM and GCD

The GCD of two numbers is 20 and the LCM is 840. One of the numbers is 120. What is the other number

Product of the numbers = LCM * GCD = 840 * 20
=> 120 * Other number = 840*20
=> Other number = \(\frac{840*20}{120}\) = 140

So, Answer will be A.
Hope it helps!

Watch the following video to Learn the Basics of LCM and GCD

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