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The sum of two integers is 41 and their difference is 5. Find the integers.
The sum of two integers is 41 and their difference is 5. Find the integers.
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Koala Tutor
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Let's call the first integer x and the second integer y.
We can set up two equations based on the given information:
Equation 1: x + y = 41
Equation 2: x - y = 5
To solve this system of equations, we can use the method of substitution:
Rearrange Equation 2 to solve for x: x = y + 5
Substitute this value of x into Equation 1: y + 5 + y = 41
Combine like terms: 2y + 5 = 41
Subtract 5 from both sides: 2y = 36
Divide by 2: y = 18
Now substitute the value of y back into x = y + 5: x = 18 + 5 = 23
Therefore, the two integers are 18 and 23.
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