two numbers are in the ratio 7:5 if 2 is subtracted from both of them the ratio becomes 3:2 find the numbers
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Step-by-step explanation:
The numbers are in the ratio 5:7
Let their common multiple be 'x'
The numbers are 5x, 7x
If 3 is subtracted from each of them the ratio becomes 2:3
5x-3/7x-3 = 2/3
3(5x-3) = 2(7x-3) (cross multiplication)
15x -9 = 14x -6
15x-14x = -6+9
x=+3
Therefore the numbers are 5* 3 =15, 7*3 = 21
(Verifications when 3 is subtracted from each other ,the ratio is 2/3, 15–3/21–3 = 12/18 = 2/3 ) verified)
The numbers are 15 & 21.
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