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A number is divided into parts such that one part 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.
Answers
Answer:
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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A number is divided in to 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.
solution:
let one part of number = x
therefore , other part of number = x+10
according to question ,
x+10/x=5/3
3(x+10)= 5x
3x+30 =5x
30 = 5x -3x
30 = 2x
or x=30/2
x=15
therefore one part of number = 15
and other part = 15+10 =25
hence number = 15+25 =40
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