SOLUTION: Kimberly is twice as old as Ryan. In 4 years, she will be 7 years older than Ryan. How old is Kimberly now?

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Question 222991: Kimberly is twice as old as Ryan. In 4 years, she will be 7 years older than Ryan. How old is Kimberly now?
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Kimberly is twice as old as Ryan. In 4 years, she will be 7 years older than Ryan. How old is Kimberly now?

Step 1. Let x be the age of Ryan

Step 2. Let 2x be the age of Kimberly

Step 3. Let x+4 be the age of Ryan in 4 years

Step 4. Let 2x+4 be the age of Kimberly in 4 years.

Step 5. 2x+4=x+4+7 since Kimberly will be 7 years older than Ryan in four years.

Step 6. Solving the equation in Step 5 yields the following steps

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=7.
  • Graphical form: Equation 2x%2B4=x%2B4%2B7 was fully solved.
  • Text form: 2x+4=x+4+7 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2x%2B4=x%2B4%2B7+%29
    For tutors: simplify_cartoon( 2x+4=x+4+7 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2Ax%2B4=x%2Bhighlight_red%28+4+%29%2Bhighlight_red%28+7+%29.
Added fractions or integers together
It becomes 2%2Ax%2B4=x%2Bhighlight_green%28+11+%29.
Look at 2%2Ax%2B4=highlight_red%28+x%2B11+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-11+%29
It becomes 2%2Ax%2B4-highlight_green%28+x+%29-highlight_green%28+11+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+4+%29-x-highlight_red%28+11+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-7+%29-x=0.
Look at 2%2Ax%2Bhighlight_red%28+-7+%29-x=0.
Moved -7 to the right of expression
It becomes 2%2Ax-x%2Bhighlight_green%28+-7+%29=0.
Look at 2%2Ax-x%2Bhighlight_red%28+-7+%29=0.
Removed extra sign in front of -7
It becomes 2%2Ax-x-highlight_green%28+7+%29=0.
Look at highlight_red%28+2%2Ax+%29-highlight_red%28+x+%29-7=0.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%282-1%29%2Ax+%29
It becomes highlight_green%28+%282-1%29%2Ax+%29-7=0.
Look at highlight_red%28+%282-1%29+%29%2Ax-7=0.
Remove extraneous '1' from product highlight_red%28+%282-1%29+%29
It becomes x-7=0.
Look at highlight_red%28+x-7+%29=0.
Solved linear equation highlight_red%28+x-7=0+%29 equivalent to x-7 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=7.

Universal Simplifier and Solver


Done!



With x=7 then 2x=14


Step 7. ANSWER: Kimberly is 14 years old.

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra,
please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J