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When an Amount was Distributed Among 14 Boys, Each of Them Got 80 More than the Amount Received by Each Boy when the Same amount is Distributed Equally Among 18 Boys. What was the Amount?

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Explanation

The amount was distributed among 14 boys.

Each of them got 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys.

Let “y” represent total amount. So; this amount is distributed among 14 boys i.e. y/14.

Same amount is distributed equally among 18 boys i.e. y/18.

According to the condition; y/14 – 80 = y/18

Through this equation; we can find out total amount is 5040.

To Find

Total amount = ?

Solution

Let suppose

Total amount = y

According to the given condition;

y/14 – 80 = y/18

y/14 – y/18 = 80

(9y – 7y)/126 = 80

2y = 80 x 126

2y = 10080

y = 5040 answer

Conclusion

When an amount was distributed among 14 boys, each of them got 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. The amount will be 5040.

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