two numbers are in the ratio of 5:6 if 8 is substacted from each of the numbers it becomes 4:5
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Step-by-step explanation:
Given that
The ratio of two numbers is 5:6
Let the two numbers be 5x and 6x
If 8 is subtracted from each number
then the numbers are 5x-8 and 6x-8
According to the question
(5x-8)/(6x-8)=4/5
=> 5(5x-8)=4(6x-8)
=> 25x-40=24x-32
=> 25x-24x=40-32
=> x=8
So the two numbers are 5x and 6x
5×8= 40
6×8=48.
Thus, the two numbers are 40 and 48.
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