Question

The two numbers are in the ratio 3:5.if 8 is added to both the numbers the ratio becomes 2:3.The larger number is

Answer 1

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Answer 2

Answer:

let the 2 numbers be 3x,5x

adding 8 to both numbers=3x+8,5x+8

then the ratio is 2:3

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

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

9x+24=10x+16

10x-9x=24-16

x=8

the 2 numbers are 3x=3(8)=24

5x=5(8)=40

largest number is 40