Question

Two numbers are in the ratio 2:3. If 9 is added
to each number, they will be in the ratio3:4.
What is the Product of two numbers?​

Answer 1

Answer:

Step-by-step explanation:

let the numbers be x and y .

x/y =2/3

3x=2y

3x-2y = 0   ........(1)eq

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

4x+36 = 3y +27

4x-3y = -9   (2)eq

multiply (1)eq with 3    and (2)eq with 2

9x-6y =0 ........(3)eq

8x-6y =  -18   ..........(4)eq

subtract eq(4) from 3eq

9x-6y-8x+6y =18

x=18

3x-2y =0

54-2y =0

y=-54/-2

y= 27

product of two numbers = 27*18

486