A number $720$ is divided into two parts in the ratio $3 : 2.$ Find the product of the numbers.

1, 21, 446

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1, 24, 416

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1, 24, 616

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1, 21, 416

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Solution

The correct option is B $1, 24, 416$
Let the number be $3 x$ and $2 x$ we have
$3 x + 2 x = 720$
$5 x = 720$
$x = 144$
Product $= 3 x \times 2 x = 6 x$ $^{2}$
$= 6 (144)^{2} = 124, 416$

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