
The sum of two numbers is 46 and their difference is 7. 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 46. In other words, x plus y equals 46 and can be written as equation A:
x + y = 46
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 46
7 + y + y = 46
7 + 2y = 46
2y = 39
y = 19.5
Now we know y is 19.5. Which means that we can substitute y for 19.5 in equation A and solve for x:
x + y = 46
x + 19.5 = 46
X = 26.5
Summary: The sum of two numbers is 46 and their difference is 7. What are the two numbers? Answer: 26.5 and 19.5 as proven here:
Sum: 26.5 + 19.5 = 46
Difference: 26.5 - 19.5 = 7
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The Sum of Two Numbers is 46 and Their Difference is 8
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