document.write( "Question 1168267: Find four consecutive integers such that the sum of the first and third integer is 60. \n" ); document.write( "

Algebra.Com's Answer #792877 by greenestamps(13209) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "(Corrected response; I read EVEN integers originally....)

\n" ); document.write( "(1) Using formal algebra (slow; but you should now how to do it....)

\n" ); document.write( "x = 1st number
\n" ); document.write( "x+1 = 2nd
\n" ); document.write( "x+2 = 3rd
\n" ); document.write( "x+3 = 4th

\n" ); document.write( "The sum of the 1st and 3rd is 60:

\n" ); document.write( " $\"x%2B%28x%2B2%29+=+60\"$

\n" ); document.write( "Solve for x using basic algebra; then answer the question.

\n" ); document.write( "(2) Using logical reasoning and simple mental arithmetic (fast -- and the THINKING is good brain exercise)

\n" ); document.write( "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.

\n" ); document.write( "Since in this problem the sum of the first and third numbers is 60, that means the second number is 30.

\n" ); document.write( "From there it takes little thinking at all to find the answer: 29, 30, 31, and 32.

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