the number. 0-4 672-32 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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Given :
- 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.
To Find :
- The number and the two parts
Solution :
Let's Assume,
- The first number be 3x
- The second number be 5x
One part is 10 more than the other [Given]
- The first number will be 3x + 10
According to the Question :
- 3x + 10 = 5x
- 10 = 5x - 3x
- 10 = 2x
- 10/2 = x
- 5 = x
Therefore :
- The first number = 3x
- The first number = 3 × 5
- The first number = 15
- The second number = 5x
- The second number = 5 × 5
- The second number = 25
- The number will be = 15 + 25 = 40 .
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