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.
Answers
Let one part of the number be x
Then the other part of the number = x + 10
The ratio of the two numbers is 5 : 3
Therefore, (x + 10)/x = 5/3
⇒ 3(x + 10) = 5x
⇒ 3x + 30 = 5x
⇒ 30 = 5x - 3x
⇒ 30 = 2x
⇒ x = 30/2
⇒ x = 15
Therefore, x + 10 = 15 + 10 = 25
Therefore, the number = 25 + 15 = 40
The two parts are 15 and 25.
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Answer :
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