Find two numbers with sum of 15 and difference of 4

Answer 1

Let's call the two numbers x and y. According to the problem, the sum of the two numbers is 15, so we can write the equation:

x + y = 15

Also, the difference between the two numbers is 4, so we can write the equation:

x - y = 4

Now we have a system of two equations. We can solve this system by either substitution or elimination.

Let's solve this system using the elimination method:

Adding the two equations together, we have:

(x + y) + (x - y) = 15 + 4

Simplifying, we get:

2x = 19

Dividing both sides by 2, we find:

x = 9.5

Substituting x = 9.5 into one of the equations, we can find the value of y:

9.5 + y = 15

y = 15 - 9.5

y = 5.5

Therefore, the two numbers are 9.5 and 5.5.