Two numbers are in the ratio 5 : 8 and their difference is 12. Find the numbers.

Given:

Ratio = 5 : 8

Difference = 12

The larger part is 8 and the smaller is 5.

Difference in parts = 8 - 5 = 3 parts.

Difference given = 12

3 parts = 12

1 part = 12 ÷ 3 = 4

Calculate the numbers by multiplying each part with 4:

First number = 5 x 4 = 20

Second number = 8 x 4 = 32

The numbers are 20 and 32.