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A sum of Rs. 53 is divided among ABC in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their share is

A sum of Rs. 53 is divided among ABC in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their share is Correct Answer <span style="">25 : 18 : 10</span>

Given:

The total sum = 53

Calculation:

Let the share of C be X

According to the question

The share of B = X + 8

The share of A = X + 8 + 7 = X + 15

⇒ X + 15 + X + 8 + X = 53

⇒ 3X + 23 = 53

⇒ 3X = 53 - 23

⇒ 3X = 30

⇒ X = 10

The share of A = X + 15 = 10 + 15 = 25

The share of B = X + 8 = 10 + 8 = 18

The ratio of A, B, and C = 25 : 18 : 10

∴ The required result will be 25 : 18 : 10.

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