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There are 2 numbers in the ratio of 4:5. If 4 is subtracted from both numbers the ration becomes 3:4 . What will be the ratio if 4 is added in the both numbers?

There are 2 numbers in the ratio of 4:5. If 4 is subtracted from both numbers the ration becomes 3:4 . What will be the ratio if 4 is added in the both numbers? Correct Answer 5:6

Let Numbers are 4x and 5x According to the question, (4x - 4)/(5x - 4) = 3/4 or, 16x - 16 = 15x - 12 or, 16x - 15x = 12 + 16 or, x = 4 so the numbers are = 4*4 = 16 and 5*4 = 20 Adding 4 the numbers will be = 16 + 4 = 20 and 20 + 4 = 24 Required Ratio = 20:24 = 5:6 (divided by 4) Ans: 5:6

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