Question

If 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​

Answer 1

Step-by-step explanation:

Let the first no. be 5x

Let the second no. be 6x

A.T.Q.

(5x+8)+(6x+8)=4x +5x

11x+16=9x

2x= -16

x = -8

I Number = 5*(-8)= -40

II Number=6*(-8)= -48

Answer 2

Step-by-step explanation:

Original no = 5:6

After subtracting by 8 = 5x - 8:6x - 8

No. becomes = 4:5

No = ??

5x - 8:6x - 8 = 4:5

5(5x - 8) = 4(6x - 8 )

25x - 40 = 24x - 32

25x - 24x = -32 + 40

x = 8

Therefore , the no. are => 5 * 8 = 40

                                        => 6 * 8 = 48

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