A number is divided into two parts such that one part is 10 more than the other. If the two
parts are in the ratio 5:3, find the number and the two parts
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Step-by-step explanation:
Given,
A number is divided into two parts such that one part is 10 more than the other.
Let,
One part is x thus other part is x + 10
Suppose,
The two parts are in the ratio 5:3
So,
x+10/x = 5/3
3x+30 = 5x
3x -5x = – 30
-2x = – 30
x = 15
Thus,
x + 10 = 15 +10 = 25
First part = 15 and second part = 25
Therefore,
The number = 15 + 25 = 40
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