Two numbers are such that the ratio between them is 3: 5. If each is increased by 5, the ratio becomes 7:9, then evaluate sum of numbers?
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Let the two numbers be 3x and 5x.
According to the question,
3x + 5 = 7
5x + 5 9
By cross multiplying we get,
9 (3x + 5) = 7 (5x + 5)
27x + 45 = 35x + 35
27x - 35x = 35 - 45
-8x = -10
8x = 10
[Minus on both sides will get cancelled]
x = 10
8
x = 5
4
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