1054 is divided into three parts such that 2 time the first part 3 times the second part and 5 times the third part are equal find each numbers the first part
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Step-by-step explanation:
Given
1054 is divided into three parts such that 2 time the first part 3 times the second part and 5 times the third part are equal find each numbers
- Given x + y + z = 1054
- So 2x = 3y = 5z
- Now 2x = 3y
- So y = 2x / 3
- Also 2x = 5z
- So z = 2x / 5
- Now substituting y and z we get
- So x + y + z = 1054
- So x + 2x/3 + 2x/5 = 1054
- 15x + 10x + 6x / 15 = 1054
- 31x = 1054 x 15
- Therefore x = 510
- Also y = 2(510) / 3
- = 340
- Also z = 2(510) / 5
- = 204
Therefore x = 510, y = 340 and z = 204.
Reference link will be
https://brainly.in/question/2364252
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