Two numbers are in the ratio 5:6.If 8 is subtracted from each of the number the ratio becomes 4:5,Find the numbers
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Answer:
Step-by-step explanation:
Two numbers =5:6=5x & 6x
If eight is subtract from two numbers=5x-8
=6x-8
If 8 is subtracted from each of the number the ratio become is 4:5=4x &5x
5x-8+6x-8=4x+5x
11x-16=9x
11x-9x=16
2x=16
x=16/2=8
Two numbers = 5x=5×8=40
=6x=6×8=48
40-8=32=4x=4×8=32
48-8=40=5x=5×8=40
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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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