You can put this solution on YOUR website! Let x be one of the integers. Then the other integer must be x+1 because the integers
are consecutive. The sum of these two integers is to be 145. So we can write the equation
for the sum as:
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On the left side you can combine the x terms to get:
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Since we need to solve for x we need to eliminate the 1 on the left side by subtracting
1 from both sides. When we subtract 1 from both sides, the equation becomes:
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And we can solve for x by dividing both sides of this equation by 2 to get:
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We now know that one of the integers is 72. The next consecutive integer is x + 1 or
72 + 1. So the other missing integer is 73.
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Check: Do the two integers 72 and 73 add up to be 145? Since they really do, we have the
correct solution. The integers we were to find are 72 and 73.
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Hope this helps you to understand the problem and find your way to the solution.
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