Question

The sum of two numbers is 79,and their difference is 33

Answer 1

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Step-by-step explanation: The sum of x and y is 79. In other words, x plus y equals 79 and can be written as equation A:

x + y = 79

The difference between x and y is 23. In other words, x minus y equals 23 and can be written as equation B:

x - y = 23

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

x - y = 23

x = 23 + y

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

x + y = 79

23 + y + y = 79

23 + 2y = 79

2y = 56

y = 28

Now we know y is 28. Which means that we can substitute y for 28 in equation A and solve for x:

x + y = 79

x + 28 = 79

X = 51

Summary: The sum of the two numbers is 79 and their difference is 23. What are the two numbers? Answer: 51 and 28 as proven here:

Sum: 51 + 28 = 79

Difference: 51 - 28 = 23

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