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Question 62
Two numbers are in the ratio 5 : 6. If 16 is subtracted from each, the numbers will be in the ratio 3 : 4. If 8 is added to the first number and 3 is subtracted from the second, then they will be in the ratio:
Solution
let the two numbers be 5x and 6x
Given (5x-16)/(6x-16)=3/4
20x-64=18x-48
2x=16
x=18
Numbers are 40 and 48
8 is added it becomes 48 and 3 is subtracted it becomes 45
Ratio 48:45
=16:15
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