A number $351$ is divided into two parts in the ratio $2 : 7$ . Find the product of the two parts of the number.

20, 294

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21, 294

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25, 295

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31, 294

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Solution

The correct option is B $21, 294$
Let the two parts of the number be $2 x$ and $7 x$ respectively.
Therefore, $2 x + 7 x = 351$
$\Rightarrow 9 x = 351 \Rightarrow x = 39$
So, one part $= 2 x = 2 \times 39 = 78$
and second part $= 7 x = 7 \times 39 = 273$
Now, product of the two parts $= 273 \times 78 = 21, 294$ .

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A number 351 is divided into two parts in the ratio 2:7. Find the product of the two parts of the number.

The correct option is B 21,294Let the two parts of the number be 2x and 7x respectively.Therefore, 2x+7x=351⇒9x=351⇒x=39 So, one part =2x=2×39=78and second part =7x=7×39=273Now, product of the two parts =273×78=21,294.

A number $351$ is divided into two parts in the ratio $2 : 7$ . Find the product of the two parts of the number.