Verified Answer :

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.




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.
73=21
8
3=24

The numbers: 21, 24