Question

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

Answer 1

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.

Answer 2

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