Question

3) The sum of two numbers is 17. The difference between five times the first number and three times

Answer 1

Answer:

8 and 9.

Step-by-step explanation:

Let the two unknown numbers be a and b.

When added together, they equal 17. In other words:

a + b = 17.

The difference between five times the first number and three times the second number is 13. In other words:

5a - 3b = 13.

We have a system of equations. We can use substitution. From the first equation, we can derive a = 17 - b. Let's substitute this in:

5(17 - b) - 3b = 13

85 - 5b - 3b = 13

-8b = -72

b = 9

a = 17 - b.

a = 17 - 9 = 8.

Thus, the two numbers are 8 and 9.