Question

the sum of 2 numbers is 17 and the diffrence is 3

Answer 1

Answer:

Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 17. In other words, x plus y equals 17 and can be written as equation A:

x + y = 17

The difference between x and y is 3. In other words, x minus y equals 3 and can be written as equation B:

x - y = 3

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

x - y = 3

x = 3 + y

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

x + y = 17

3 + y + y = 17

3 + 2y = 17

2y = 14

y = 7

Now we know y is 7. Which means that we can substitute y for 7 in equation A and solve for x:

x + y = 17

x + 7 = 17

X = 10

Summary: The sum of two numbers is 17 and their difference is 3. What are the two numbers? Answer: 10 and 7 as proven here:

Sum: 10 + 7 = 17

Difference: 10 - 7 = 3

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