document.write( "Question 184955: Seth is two and a half times older than Pete. The difference in their ages is 45 years. Howa old are they? \n" ); document.write( "

Algebra.Com's Answer #138812 by Earlsdon(6294) $\"\"$ $\"About$

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Let S be Seth's age and P be Pete's age. From the problem description, you can write:
\n" ); document.write( "1) S = 2.5P \"Seth is two and a half times older than Pete\"
\n" ); document.write( "2) S-P = 45 \"The difference in their ages is 45 years\" Substitute equation 1) into equation 2) and solve for P.
\n" ); document.write( "3) (2.5P)-P = 45
\n" ); document.write( "1.5P = 45 Divide both sides by 1.5
\n" ); document.write( "P = 30
\n" ); document.write( "S = 2.5(30)
\n" ); document.write( "S = 75
\n" ); document.write( "Seth is 75 years old and Pete is 30 years old.
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