document.write( "Question 75048: If three times the smaller of two consecutive integers is added to four times the larger, the result is 74. Find the smaller integer. \n" ); document.write( "

Algebra.Com's Answer #53884 by Earlsdon(6294) $\"\"$ $\"About$

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If x = the smaller of the two consecutive integers, the next consecutive integer would be (x+1)
\n" ); document.write( "From the problem description, you can write:
\n" ); document.write( "3x+4(x+1) = 74 Simplify and solve for x.
\n" ); document.write( "3x+4x+4 = 74 Combine like-terms (the x's) and subtract 4 from both sides.
\n" ); document.write( "7x = 70 Divide both sides by 7.
\n" ); document.write( "x = 10 This is the smaller integer.
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