a number is divided into two part such one part is 10 more than the other. If the parts are in ratio 5:3,find the number
Answers
As per statement a number is divided into two parts, such that one part is 10 more than the other.
Let the first part of the number be x then the second part of the number is x + 10
According to the statement again, if the two parts are in the ratio 5 : 3, the number and the two parts to be calculated.
5 : 3 can be written as 5/3, Accordingly
x + 10 / x = 5 / 3
Cross multiplication
5x = 3x + 30
5x - 3x = 30
2x = 30
x = 30 / 2
x = 15
One part of the number is 15.
The other part is 10 more than one part, means
x + 10 = 15 + 10 = 25
The two parts are 15 and 25
And the number is x + x + 10 or 15 + 15 + 10= 40
Step-by-step explanation:
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Hey friend,
Here is the answer you are searching for,
Let One part be x,
=> Another part = (x+10),
Also given that,
(x+10)/x = 5/3
=> 3x+30 = 5x
=> 2x = 30
=> x = 30/2 = 15.
=> One number = x = 15.
=> Another number = (x+10) = 15+10 = 25.
Therefore,
Two numbers = 15,25.
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