The sum of two numbers is 18 and their difference is three
Answers
Answer:
15
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Answer:
Step-by-step explanation:
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 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 = 18
3 + y + y = 18
3 + 2y = 18
2y = 15
y = 7.5
Now we know y is 7.5. Which means that we can substitute y for 7.5 in equation A and solve for x:
x + y = 18
x + 7.5 = 18
X = 10.5
Summary: The sum of two numbers is 18 and their difference is 3. What are the two numbers? Answer: 10.5 and 7.5 as proven here:
Sum: 10.5 + 7.5 = 18
Difference: 10.5 - 7.5 = 3