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