document.write( "Question 1109247: The sum of the second and the fourth even integers is 49 more than one-fourth of the third integer. What are these four consecutive integers? \n" ); document.write( "
Algebra.Com's Answer #724239 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let x be the first even number then we can list the four even integers as \n" ); document.write( ": \n" ); document.write( "x, x+2, x+4, x+6 \n" ); document.write( ": \n" ); document.write( "now we can write the relationship \n" ); document.write( ": \n" ); document.write( "(x+2 + x+6) = ((x+4)/4) + 49 \n" ); document.write( ": \n" ); document.write( "now simplify the expression \n" ); document.write( ": \n" ); document.write( "2x +8 = ((x+4)/4) + 49 \n" ); document.write( ": \n" ); document.write( "multiply both sides of = by 4 \n" ); document.write( ": \n" ); document.write( "8x +32 = x+4 +196 \n" ); document.write( ": \n" ); document.write( "7x +32 = 200 \n" ); document.write( ": \n" ); document.write( "7x = 168 \n" ); document.write( ": \n" ); document.write( "x = 24 \n" ); document.write( ": \n" ); document.write( "**************************************** \n" ); document.write( "the four even numbers are 24, 26, 28, 30 \n" ); document.write( ": \n" ); document.write( "check the answer \n" ); document.write( ": \n" ); document.write( "26 + 30 = (28/4) + 49 \n" ); document.write( ": \n" ); document.write( "56 = 7 + 49 \n" ); document.write( ": \n" ); document.write( "56 = 56 \n" ); document.write( ": \n" ); document.write( "answer checks \n" ); document.write( "***************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |