The difference of two numbers is 3. Their sum is 13. Find the numbers.

York

York

Answered question

2021-01-17

The difference of two numbers is 3. Their sum is 13. Find the numbers.

Answer & Explanation

Corben Pittman

Corben Pittman

Skilled2021-01-18Added 83 answers

Let x and y be the numbers.
Their difference is 3 so we write:
xy=3(1)
Their sum is 13 so we write:
x+y=13(2)
Solve the system of equations. Add each side of (1) and (2) to eliminate yy and solve for x:
2x=16
x=8
Solve for yy using (2):
8+y=13
y=5
So, the numbers are 8 and 5.

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