document.write( "Question 103178This question is from textbook beginning algebra
\n" ); document.write( ": Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46. \n" ); document.write( "
Algebra.Com's Answer #75038 by doukungfoo(195)\"\" \"About 
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Lets call the first interger x
\n" ); document.write( "For the second interger to be a consecutive even interger it must be
\n" ); document.write( "x+2
\n" ); document.write( "Ok so far we have
\n" ); document.write( "first interger = x
\n" ); document.write( "second interger = x+2
\n" ); document.write( "Now lets look at what we are given:
\n" ); document.write( "Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46.
\n" ); document.write( "Using x for the first interger and x+2 for the second interger write and equation that satisfies this statement.
\n" ); document.write( "(x) + 3(x+2) = 46
\n" ); document.write( "Now just solve for x
\n" ); document.write( "(x) + 3(x+2) = 46
\n" ); document.write( "multiply 3 across (x+2)
\n" ); document.write( "x + 3x + 6 = 46
\n" ); document.write( "combine like terms
\n" ); document.write( "4x + 6 = 46
\n" ); document.write( "subtract 6 from both sides
\n" ); document.write( "4x = 40
\n" ); document.write( "divide both sides by 4
\n" ); document.write( "x = 10
\n" ); document.write( "Answer: the first interger is 10
\n" ); document.write( "so if the first interger is 10 then the second interger is 12 because
\n" ); document.write( "second interger = x+2
\n" ); document.write( "second interger = 10+2
\n" ); document.write( "second interger = 12
\n" ); document.write( "Answer: the second interger is 12
\n" ); document.write( "check answers:
\n" ); document.write( "Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46.
\n" ); document.write( "10 + 3(12) = 46
\n" ); document.write( "10 + 36 = 46
\n" ); document.write( "46 = 46\r
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