Question

the ratio of the number x and y is 2:3.If 9 is added to each number the ratio becomes 3:4.Find the value of x and y.?​

Answer 1

Answer:

Let the new numbers in the ratio 3:4 be 3x and 4x. On solving the equation, we will get x as 9. Hence, the two numbers in the ratio 2:3 are 18 and 27.

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Answer 2

Answer:

x=18,y=27

Step-by-step explanation:

x/y=2/3,y=3x/2

x+9/y+9=3/4

4x+36=3y+27

3y-4x=36-27

3y-4x=27

3(y-3)=4x

y=(4x/3)+3

3x/2=(4x+9)/3

9x=8x+18

x=18

y=3x/2

y=(3*18)/2

y=27