Question

two number are on the ratio 2:3.if 12 is added to both the numbers,ratio becomes 5:6.find the numbers

Answer 1

The numbers are: 8 , 12

Explanation:

Ratio of two numbers = 2:3

Two numbers are : 2x , 3x

`(2x +12)/(3x +12)=(5)/(6)\\\\`

Cross multiply,

6*(2x + 12) = 5*(3x+12)

6*2x +6*12 = 5*3x + 5*12

12x + 72 = 15x + 60

72 - 60 = 15x - 12x

12 = 3x

3x = 12

x = 12/3

x = 4

2x = 2*4 = 8

3x = 3*4 = 12

The numbers are: 8 , 12