two numbers are in the ratios of 5:6.if 8is subtracted from each of the numbers the ratios becomes 4:5 find the numbers
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Answered by
2
5x:6x
5x-8:6x-8::4:5
ad=bc
25x-40=24x-32
25x-24x=40-32
x=8
40,48 are the numbers
5x-8:6x-8::4:5
ad=bc
25x-40=24x-32
25x-24x=40-32
x=8
40,48 are the numbers
Answered by
1
let the number be x
5x:6x, 4x:5x
5x-8/6x-8=4x/5x
5x(5x-8)=4x(6x-8)
25x^2-40x=24x^2-32x
25x^2-24x^2=40x-32x
x^2=8x
x=8
numers =5*8,6*8
=40,48
5x:6x, 4x:5x
5x-8/6x-8=4x/5x
5x(5x-8)=4x(6x-8)
25x^2-40x=24x^2-32x
25x^2-24x^2=40x-32x
x^2=8x
x=8
numers =5*8,6*8
=40,48
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