If the sum of two numbers is 79 and
their difference is 23, then find the numbers.
please solve this question
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If the sum of two numbers is 79 and
their difference is 23, then find the numbers.
please solve this question
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Answer:
The sum of x and y is 23. In other words, x plus y equals 23 and can be written as equation A:
x + y = 23
The difference between x and y is 79. In other words, x minus y equals 79 and can be written as equation B:
x - y = 79
Now solve equation B for x to get the revised equation B:
x - y = 79
x = 79 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 23
79 + y + y = 23
79 + 2y = 23
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 = 23
x + -28 = 23
X = 51
Sum: 51 + -28 = 23
Difference: 51 -28 = 79