document.write( "Question 470226: Peter is 3 years older than his brother. The product of their ages is 270. Find Peter's age.
\n" ); document.write( "Show the solutions \n" ); document.write( "

Algebra.Com's Answer #322552 by Tatiana_Stebko(1539) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"x\"$ is Peter's age
\n" ); document.write( "Then his brother is $\"x-3\"$ years old.
\n" ); document.write( "The product of their ages is $\"x%28x-3%29=270\"$
\n" ); document.write( " $\"x%5E2-3x-270=0\"$
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A1%2A%28-270%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%283+%2B-+sqrt%28+1089+%29%29%2F2+\"$
\n" ); document.write( " $\"x1=%283-33%29%2F2=-15%3C0\"$ extraneous root
\n" ); document.write( " $\"x2=%283%2B33%29%2F2=36%2F2=18\"$ is Peter's age
\n" ); document.write( "Answer: Peter is 18 years old \n" ); document.write( "

\n" );