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Divide 34 into two parts in such a way that 4/7th of one part to 2/5th of the other?
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Divide 34 into two parts in such a way that 4/7th of one part to 2/5th...
Dividing 34 into two parts with given conditions:
1. Let one part be x and the other part be y:
- Let one part be x and the other part be y. So, x + y = 34.
2. Given condition:
- According to the given condition, 4/7th of one part is equal to 2/5th of the other part.
- Mathematically, (4/7)x = (2/5)y.
3. Solving the equations:
- From the first equation x + y = 34, we get y = 34 - x.
- Substituting y in the second equation, we get (4/7)x = (2/5)(34 - x).
- Simplifying the equation, we get 20x = 238 - 7x.
- Solving for x, we get x = 17.6.
4. Calculating the parts:
- From x + y = 34, we find y = 34 - x = 34 - 17.6 = 16.4.
5. Verification:
- Checking the given condition (4/7)(17.6) = (2/5)(16.4), we find both sides equal to 8.
Therefore, the two parts are 17.6 and 16.4, satisfying the given condition.
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Divide 34 into two parts in such a way that 4/7th of one part to 2/5th of the other?
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