Question 1168267
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(Corrected response; I read EVEN integers originally....)<br>
(1) Using formal algebra (slow; but you should now how to do it....)<br>
x = 1st number
x+1 = 2nd
x+2 = 3rd
x+3 = 4th<br>
The sum of the 1st and 3rd is 60:<br>
{{{x+(x+2) = 60}}}<br>
Solve for x using basic algebra; then answer the question.<br>
(2) Using logical reasoning and simple mental arithmetic (fast -- and the THINKING is good brain exercise)<br>
In this sequence of consecutive integers (as in ANY arithmetic sequence), any number in the sequence is the average of the two numbers on either side.<br>
Since in this problem the sum of the first and third numbers is 60, that means the second number is 30.<br>
From there it takes little thinking at all to find the answer: 29, 30, 31, and 32.<br>