Question

to have a sum of 18 and the difference of 10

Answer 1

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Answer 2

Answer:

Sum: 14 + 4 = 18

Difference: 14 - 4 = 10

Step-by-step explanation:

The sum of two numbers is 18 and their difference is 10. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 18. In other words, x plus y equals 18 and can be written as equation A:

x + y = 18

The difference between x and y is 10. In other words, x minus y equals 10 and can be written as equation B:

x - y = 10

Now solve equation B for x to get the revised equation B:

x - y = 10

x = 10 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 18

10 + y + y = 18

10 + 2y = 18

2y = 8

y = 4

Now we know y is 4. Which means that we can substitute y for 4 in equation A and solve for x:

x + y = 18

x + 4 = 18

X = 14