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Product of Two Numbers = HCF X LCM of the Two Numbers

L.C.M. of two...

Question

L.C.M. of two numbers is $2079$ and H.C.F. is $81.$ If one of the numbers is $99,$ then the other number is

A

1705

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B

1703

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C

1701

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D

1601

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Solution

The correct option is B $1701$
Given, L.C.M. $= 2079$ , H.C.F. $= 81$
Let $x$ be one given number $= 99$
Let $y$ be the unknown number.
We know, L.C.M $\times$ H.C.F $=$ Product of two numbers
$∴ 2079 \times 81 = 99 \times y$
$∴ y = 1701$

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