document.write( "Question 215538: renato is three years younger than doming. six years ago, renato's age was two-thirds of domingo's age. what are thier present ages? \n" ); document.write( "
Algebra.Com's Answer #162858 by Melissalsa(1)\"\" \"About 
You can put this solution on YOUR website!
We will use R to represent Renato's age, and D to represent Doming's age. We know that Renato is 3 years younger than Doming; that remains a constant. Therefore R= D-3. We also know that 6 years ago, Renato's age was 2/3 of Doming's age, so, we will use the equation 2/3D=R Since we already know that R= D-3, we will plug that into the equation and get this: 2/3D=D-3. So, we must solve for D, \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:

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  • Graphical form: \"x%5E2-2x\" simplifies to \"3\"
  • Text form: x^2-2x simplifies to 3
  • Cartoon (animation) form: \"simplify_cartoon%28+x%5E2-2x+%29\"
    For tutors: simplify_cartoon( x^2-2x )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+x+%29%5E2-2%2Ax\".
Replaced x with 3
It becomes \"highlight_green%28+3+%29%5E2-2%2Ax\".
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Look at \"highlight_red%28+3+%29%5Ehighlight_red%28+2+%29-2%2Ax\".
Replace constants in factor: \"highlight_red%28+3+%29\",\"highlight_red%28+2+%29\" with \"highlight_green%28+9+%29\"
It becomes \"highlight_green%28+9+%29-2%2Ax\".
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Look at \"9-2%2Ahighlight_red%28+x+%29\".
Replaced x with 3
It becomes \"9-2%2Ahighlight_green%28+3+%29\".
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Look at \"highlight_red%28+9+%29-highlight_red%28+2%2A3+%29\".
Replace constants in expression: \"highlight_red%28+9+%29\",\"highlight_red%28+-2%2A3+%29\" with \"highlight_green%28+3+%29\"
It becomes \"highlight_green%28+3+%29\".
Result: \"3\"
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Universal Simplifier and Solver

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Done!
\n" ); document.write( " and we get D= 9 Now that we know D is 9, we plug that into the original equation and get 2/3(9)=R When solved, you will see that R= 6. So now we know that 6 years ago, Renato was 9 and Doming was 12. You are asked for the current age, so add 6 to both numbers, and we find out that Doming is currently 15 and Renato is currently 12. \n" ); document.write( "
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