Two numbers are in the ratio 7:8. Find the numbers if their sum is 45.

Add the total of the ratio.

7+8=15.

Then divide 45 by the total.

45/15=3

Now multiply the separate ratios (7 and 8) by 3.

7*3=21

8*3=24

The numbers: 21, 24

Let us assume the common ratio to be = x

Then

7x + 8x = 45

15x = 45

x = 45/15

= 3

Then the two numbers are

7x : 8x

7 * 3:8 * 3

21: 24

Then the two numbers are 21 and 24. I hope the procedure in which the problem is done is clear to you. This is a simple but effective way of solving such problems. In future this method will make you confident about solving these kind of problems.