what mist be added to each term of ratio 3:5,so that it becomes 4:5
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Answer:
The ratio of 56:70=4:5.
Step-by-step explanation:
Let the numbers be 3x and 5x
By adding y to each of them the ratio becomes 4:5. Or.
- (3x+y):(5x+y) = 4:5 or
- 5(3x+y) = 4(5x+y), or
- 15x + 5y = 20x + 4y, or
- 5x = y.
- Suppose x = 1, the original numbers are 3 and 5 and the revised numbers by addition of 5 become 3+5 or 8 and 5+5 or 10 and the ratio of the two revised numbers is thus 8:10 or 4:5.
- The ratio of 56:70=4:5.
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