# Two numbers are in the ratio 5:6. if 8 is subtracted from each of the numbers, the ratio becomes 4:5. find the numbers.

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can i answer

answer it fast

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let two no. x/y =5/6

from that the eq will become 6x -5y =1 eq 1

according to ques

x-8/y-8=4/5

5(x-8)=4(y-8)

5x -40 =4y- 32

5x-4y = 8 eq 2

multipy eq 1 by 4 and eq 2 by 5

24x- 20y=0 eq3

25x-20y=40 eq4

subtract eq 3 fm eq 4

the value of x = 40 eq 5

put eq 5 in eq 1

6(40)-5y =0

y=48

two n. are 40 and 48.............

the method we used is elimination method