document.write( "Question 261875: Write an equation which models how old, in years, you will be when you are 3 times as old as the younger person. I am 44, and the youngest person is 6. \n" ); document.write( "

Algebra.Com's Answer #192950 by drk(1908) $\"\"$ $\"About$

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We need to give variables unknowns.
\n" ); document.write( " $\"You+=+44\"$
\n" ); document.write( "and
\n" ); document.write( " $\"younger+person+=+6\"$
\n" ); document.write( "--
\n" ); document.write( "we are moving forward some number of years which we don't know.
\n" ); document.write( "Let x = the number of years from now. We get
\n" ); document.write( " $\"44+%2B+x+=+3%2A%286%2Bx%29\"$
\n" ); document.write( "notice we are adding some number of years to your age and also to the younger persons age.
\n" ); document.write( "At some point in the future, your future age will be 3 times the future age of the younger person.
\n" ); document.write( "distribute the 3 to the (6 + x) to get
\n" ); document.write( " $\"44+%2B+x+=+18+%2B+3x\"$
\n" ); document.write( "Now, we have an equation that we can solve. subtract x from both sides to get
\n" ); document.write( " $\"44+=+18+%2B+2x\"$
\n" ); document.write( "WE have isolated the variable. Now isolate the number. subtract 18 from both sides to get
\n" ); document.write( " $\"26+=+2x\"$
\n" ); document.write( "divide by 2 on both sides to get
\n" ); document.write( " $\"x+=+13\"$
\n" ); document.write( "--
\n" ); document.write( "in 13 years you will be 3 times the younger.
\n" ); document.write( "In 13 years you will be
\n" ); document.write( "44 + 13 = 57
\n" ); document.write( "and
\n" ); document.write( "the younger person will be
\n" ); document.write( "6 + 13 = 19.
\n" ); document.write( "Now 57/19 = 3.
\n" ); document.write( "--
\n" ); document.write( "Since the question wants the number of years it will take for you to be 3 times the age of the younger person, we have \"13 years\". \n" ); document.write( "

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