Question

2. The ratio of two numbers is 8:7..If 2 is subtracted from both the numbers, the ratio changes to 7:6. Find the numbers. ​

Answer 1

Answer:

Let 1st number be = 8x

2nd number = 7x

Step-by-step explanation:

According to question ,

$\frac{8x - 2}{7x -2} = \frac{7}{6}$      { cross multiplying}

6(8x - 2 ) = 7( 7x - 2 )

48x - 12 =  49x - 14

48x - 49x = -14 + 12

-x = -2

x = 2

therefore, numbers = 8x = 8(2) = 16

                                  = 7x = 7(2) = 14