document.write( "Question 229585: Matt is 22 yars older than belinda. 7 years ago Matt was 3 times as old as belinda, find the age of each now. please help, I have so far \r
\n" ); document.write( "\n" ); document.write( " 7 yrs ago
\n" ); document.write( "Matt: M M-7
\n" ); document.write( "Belinda: M-22 M-29\r
\n" ); document.write( "\n" ); document.write( "(m-7) + (m-29) = 36
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Algebra.Com's Answer #170195 by drj(1380)\"\" \"About 
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Matt is 22 yars older than Belinda. 7 years ago Matt was 3 times as old as belinda, find the age of each now. please help, I have so far \r
\n" ); document.write( "\n" ); document.write( " 7 yrs ago
\n" ); document.write( "Matt: M M-7
\n" ); document.write( "Belinda: M-22 M-29\r
\n" ); document.write( "\n" ); document.write( "(m-7) + (m-29) = 36 \r
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\n" ); document.write( "\n" ); document.write( "Nice effort...Here's how I'd set up and solve the problem...\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let m be the current age of Belinda\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let m+22 be the age of Matt.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let m-7 be the age of Belinda seven years ago.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Let m+22-7=m+15 be the age of Matt seven years ago.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Then \"m%2B15=3%28m-7%29\" since 7 years ago Matt was 3 times as old as Belinda.\r
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\n" ); document.write( "\n" ); document.write( "Step 6. Solving \"m%2B15=3%28m-7%29\" yields the following steps\r
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\n" ); document.write( "\n" ); document.write( "\"m%2B15=3m-21\"\r
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\n" ); document.write( "\n" ); document.write( "Add 21 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"m%2B15%2B21=3m-cross%2821%29%2Bcross%2821%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"m%2B36=3m\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract m from both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"cross%28m%29%2B36-cross%28m%29=3m-m\"\r
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\n" ); document.write( "\n" ); document.write( "\"36=2m\"\r
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\n" ); document.write( "\n" ); document.write( "Divide by 2 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"36%2F2=cross%282%29m%2Fcross%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"m=18\" and \"m%2B22=40\"\r
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\n" ); document.write( "\n" ); document.write( "Check with original statement: Seven years ago Belinda is 11 and Matt is 33 when Matt was 3 times as old as Belinda.\r
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\n" ); document.write( "\n" ); document.write( "Step 7. ANSWER: Belinda is 18 years old and Matt is 40 years old.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
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