SOLUTION: 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?

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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?
Answer by Melissalsa(1) About Me  (Show Source):
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,
Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:


YOUR ANSWER


  • 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 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+x+%29%5E2-2%2Ax.
Replaced x with 3
It becomes highlight_green%28+3+%29%5E2-2%2Ax.
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.
Look at 9-2%2Ahighlight_red%28+x+%29.
Replaced x with 3
It becomes 9-2%2Ahighlight_green%28+3+%29.
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

Universal Simplifier and Solver


Done!
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.