Question

two numbers are in ratio 3:5 if 9 is subtracted from each of the number the ratio becomes 12:23 find the greater number​

Answer 1

Step-by-step explanation:

Let the raitos be x then,

3x-9=12

------ ---

5x-9=23

(by cross multiplying)

23(3x-9)=12(5x-9)

69x-207=60-108

69x-60x=207-108

9x=99

x=11

the greater number=5x

5x=5*11

55

Hence, the greater number is 55

Answer 2

Answer:

55

Step-by-step explanation:

Let the ratio = x

Therefore,

3x - 9/5x - 9 = 12x/23x

Applying cross multiplication method

Therefore,

23x(3x - 9) = 12x(5x - 9)

69x^2 - 207x = 60x^2 - 108x

-9x^2 + 99x = 0

x^2 - 11x  = 0

x(x -11) = 0

As zero can't be the number in ratio

Therefore,

x = 11

Now,

Greater number = 5x = 5*(11) = 55