Two numbers are in the ratio 5:6. if 8 is subtracted from each of the numbers, the ratio becums 4:5. find the numbers..
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Answered by
1
Let x/y = 5/6 => x = 5y/6
Again, (x - 8)/ (y - 8) = 4/5
=> x = (4y + 8)/5
So, 5y/6 = (4y + 8)/5
=> 25y = 24y + 48
=> y = 48
& x = 5 . 48/6 = 40
Again, (x - 8)/ (y - 8) = 4/5
=> x = (4y + 8)/5
So, 5y/6 = (4y + 8)/5
=> 25y = 24y + 48
=> y = 48
& x = 5 . 48/6 = 40
Answered by
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Given :-
Two numbers are in ratio 5:6 . if 8 is subtract from each number the ratio be 4:5
To Find :-
Numbers
Solution :-
Let the ratio be 5x and 6x
5x - 8/6x - 8 = 4/5
5(5x - 8) = 4(6x - 8)
25x - 40 = 24x - 32
25x - 24x = 40 - 32
x = 8
Number are
5x = 40
6x = 48
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