document.write( "Question 1150830: Mike age is two third of jake’s age. If the sum of their age is thirty years, how old is jake? \n" ); document.write( "
Algebra.Com's Answer #772333 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "One clear way to set up the problem directly from the given information, as the other tutor did, is to let j be Jake's age, and so Mike's age is 2/3 of j. Then form an equation that says the sum of their ages is 30 and solve the equation to find Jake's age.

\n" ); document.write( "\"j+%2B+%282%2F3%29j+=+30\"
\n" ); document.write( "...

\n" ); document.write( "Since many people (and not just beginning students) prefer to use a setup that avoids using fractions, here is an alternative method for solving the problem.

\n" ); document.write( "\"Mike is 2/3 of Jake's age\"
\n" ); document.write( "--> the ratio of their ages is 2:3
\n" ); document.write( "--> let 2x be Mike's age and let 3x be Jake's age

\n" ); document.write( "Now write and solve an equation that says the sum of their ages is 30:

\n" ); document.write( "\"2x%2B3x+=+30\"
\n" ); document.write( "\"5x+=+30\"
\n" ); document.write( "\"x+=+6\"

\n" ); document.write( "The disadvantage to this method is that solving the equation doesn't directly give you the answer to the question. The answer to the question is Jake's age, which is 3x = 18.

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