Question

Two number are in the ratio 3:5 if 8 is added to each number the ratio become 2:3 then the number is


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Answer 1

Answer:

24 and 40

Step-by-step explanation:

3x+8/5x+8 = 2/3

=> 3(3x+8)=2(5x+8)

=> 9x+24 = 10x+16

=> -x = -8

=> x = 8

Answer 2

Answer:

The fraction is 24

40

Step-by-step explanation:

The numerator be 3x and denominator be 5y

If 8 is added both to numerator and denominator

then the equation becomes

3x + 8 = 2

5x + 8 3

3(3x+8) = 2(5x+8)

9x + 24 = 10x +16

9x - 10x = 16-24

-x = -8

x = 8

so the numerator is 3x = 3×8= 24

denominator is 5x = 5×8= 40