document.write( "Question 1173704: Marvin is 22 years older than his younger brother Raul. In 6 years, the sum of their ages will be 60. How old is each?
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Algebra.Com's Answer #798997 by mila nedic(19) $\"\"$ $\"About$

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Let's say Marvin's age is m and Raul's age is r. We can make equations using these variables with the two pieced of information.
\n" ); document.write( "Marvin is 22 years older that Raul: m=r+22
\n" ); document.write( "In six year the sum of their ages will be 60: (m+6)+(r+6)=60
\n" ); document.write( "m=r+22
\n" ); document.write( "((r+22)+6)+(r+6)=60 (since we know that m=r+22 we can replace m with r+22 so we are only dealing with one variable)
\n" ); document.write( "r+28+r+6=60
\n" ); document.write( "2r+34=60
\n" ); document.write( "2r=26
\n" ); document.write( "r=13 (now we know that Raul is 13)
\n" ); document.write( "We can use one of the original equations to find our Marvin's age.
\n" ); document.write( "m=r+22
\n" ); document.write( "m=13+22 (we can replace r with 13)
\n" ); document.write( "m=35 (Marvin is 35)
\n" ); document.write( "To check our work we can use the second equation to see if the ages are correct.
\n" ); document.write( "(m+6)+(r+6)=60
\n" ); document.write( "(35+6)+(13+6)=60
\n" ); document.write( "60=60 (the left side of the equation is equal to 60 and so is the right side, we know our ages are correct)
\n" ); document.write( "Therefore Marvin is 35 years old and Raul is 13 years old. \n" ); document.write( "

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