The sum of two numbers is 100. The difference between the numbers is 6. What are the two numbers?

King Waters

King Waters

Answered question

2023-01-08

The sum of two numbers is 100. The difference between the numbers is 6. What are the two numbers?

Answer & Explanation

locatorxbf

locatorxbf

Beginner2023-01-09Added 2 answers

Let x and y be the first and second numbers, respectively.
x and y
Their sum = 100
x+y=100
Their difference = 6
xy=6
We will use substitution to resolve a set of two simultaneous equations.
x+y=100 (1)
xy=6 (2)
Rearrange (2):
xy=6
x=6+y (3)
Substitute (3) into (1)
x+y=100
(6+y)+y=100
6+y+y=100
2y=94
y=47 (4)
Substitute (4) into (3)
x=6+47
x=6+47=53
The two numbers are therefore 47 and 53.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?