the sum of two number of 45 and their defferent is 7 . find then
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Answer:
Sum: 26 + 19 = 45
Difference: 26 - 19 = 7
Step-by-step explanation:
•The sum of two numbers is 45 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 45. In other words, x plus y equals 45 and can be written as equation A:
x + y = 45
•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 = 45
7 + y + y = 45
7+ 2y = 45
2y = 38
y = 19
•Now we know y is 19. Which means that we can substitute y for 19 in equation A and solve for x:
x + y = 45
x + 19 = 45
X = 26
•Summary: The sum of two numbers is 45 and their difference is 7. What are the two numbers? Answer: 26 and 19 as proven here:
Sum: 26 + 19 = 45
Difference: 26 - 19 = 7
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