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A sum of money is divided in the ratio 2 : 3 : 7 .Given the largest share is $112,calculate the smallest share.

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Respuesta :

Answer:

$32

Step-by-step explanation:

A sum of money is divided in the ratio 2:3:7.

Let the share of each individual be represented by 2x,3x,7x respectively.

The largest share (7x) is given as $112.

[tex]\[7x = 112\][/tex]

[tex]\[=>x = \frac{112}{7}\][/tex]

[tex]\[=>x = 16\][/tex]

So the respective shares are [tex]\[2\times16,3\times16,7\times16\][/tex]

In other words, the shares are 32,48,112.

So the smallest share is $32