Answer:
Let's assume the first number is x, and the second number is y.
According to the problem, we have the following equations:
0.05x = 0.08y ---(1)
0.10x - 0.09y = 3.5 ---(2)
From equation (1), we can rewrite it as:
x = (0.08/0.05)y
Now, substitute x in equation (2):
0.10((0.08/0.05)y) - 0.09y = 3.5
0.16y - 0.09y = 3.5
0.07y = 3.5
y = 3.5 / 0.07
y = 50
Now, substitute the value of y in equation (1) to find x:
x = (0.08/0.05) * 50
x = 80
Therefore, the first number (x) is 80 and the second number (y) is 50.
The sum of these numbers is:
80 + 50 = 130
So, the sum of the numbers is 130.
