What two numbers have a sum of 35 and a difference of 15

Answer:

The sum of two numbers is 35 and their difference is 15. 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 35. In other words, x plus y equals 35 and can be written as equation A:

x + y = 35

The difference between x and y is 15. In other words, x minus y equals 15 and can be written as equation B:

x - y = 15

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

x - y = 15

x = 15 + y

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

x + y = 35

15 + y + y = 35

15 + 2y = 35

2y = 20

y = 10

Now we know y is 10. Which means that we can substitute y for 10 in equation A and solve for x:

x + y = 35

x + 10 = 35

X = 25

Summary: The sum of two numbers is 35 and their difference is 15. What are the two numbers? Answer: 25 and 10 as proven here:

Sum: 25 + 10 = 35

Difference: 25 - 10 = 15

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The Sum of Two Numbers is 35 and Their Difference is 15

x + y = 35

x - y = 15

x - y = 15
x = 15 + y

x + y = 35
15 + y + y = 35 15 + 2y = 35 2y = 20

y = 10

x + y = 35
x + 10 = 35
X = 25

Sum: 25 + 10 = 35
Difference: 25 - 10 = 15

The Sum of Two Numbers is 35 and Their Difference is 16