A number is divided into two parts so that the difference of the parts is 40. If four-fifth of the smaller part exceeds one-third of the greater part by 24. Find the number
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Since the two parts are in the ratio 5 : 3,
then let the first number be 5x and second
number be 3x. As second number is 10
more than the other, so it will be 3x + 10.
5x = 3x + 10
2x = 10
x=5
The first number becomes 5 (5)=25 and
second number becomes 3 (5) = 15.
The new number will be 25+15= 40.
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