SOLUTION: adam is 5 years younger than eve. in 1 year , eve will be three times as old as adam wsa 4 years ago. find their ages now

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Question 221304: adam is 5 years younger than eve. in 1 year , eve will be three times as old as adam wsa 4 years ago. find their ages now

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Adam is 5 years younger than Eve. In 1 year , Eve will be three times as old as Adam was 4 years ago. Find their ages now

Step 1. Let x be the age of Eve

Step 2. Let x-5 be the age of Adam since Adam is 5 years younger than Eve

Step 3. Let x+1 be the age of Eve in 1 year.

Step 4. Let x-5-4=x-9 be the age of Adam 4 years ago.

Step 5. x+1=3(x-9) since in 1 year , Eve will be three times as old as Adam was 4 years ago.

Step 6. Solving yields the following steps

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


YOUR ANSWER


  • This is an equation! Solutions: x=14.
  • Graphical form: Equation x%2B1=3%2A%28x-9%29 was fully solved.
  • Text form: x+1=3*(x-9) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2B1=3%2A%28x-9%29+%29
    For tutors: simplify_cartoon( x+1=3*(x-9) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x%2B1=highlight_red%28+3%2A%28x-9%29+%29.
Moved these terms to the left highlight_green%28+-3%2A%28x-9%29+%29
It becomes x%2B1-highlight_green%28+3%2A%28x-9%29+%29=0.
Look at x%2Bhighlight_red%28+1+%29-3%2A%28x-9%29=0.
Moved 1 to the right of expression
It becomes x-3%2A%28x-9%29%2Bhighlight_green%28+1+%29=0.
Look at x-highlight_red%28+3%2A%28x-9%29+%29%2B1=0.
Expanded term -3 by using associative property on %28x-9%29
It becomes x-highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+3%2A9+%29%2B1=0.
Look at x-3%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+9+%29%2B1=0.
Multiplied numerator integers
It becomes x-3%2Ax%2Bhighlight_green%28+27+%29%2B1=0.
Look at x-3%2Ax%2Bhighlight_red%28+27+%29%2Bhighlight_red%28+1+%29=0.
Added fractions or integers together
It becomes x-3%2Ax%2Bhighlight_green%28+28+%29=0.
Look at highlight_red%28+x+%29-highlight_red%28+3%2Ax+%29%2B28=0.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+-3%2Ax+%29 replacing them with highlight_green%28+%281-3%29%2Ax+%29
It becomes highlight_green%28+%281-3%29%2Ax+%29%2B28=0.
Look at %28highlight_red%28+1+%29-highlight_red%28+3+%29%29%2Ax%2B28=0.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Ax%2B28=0.
Look at %28highlight_red%28+-2+%29%29%2Ax%2B28=0.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Ax%2B28=0.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax+%29%2B28=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Ax%2B28=0.
Look at highlight_red%28+-2%2Ax%2B28+%29=0.
Solved linear equation highlight_red%28+-2%2Ax%2B28=0+%29 equivalent to -2*x+28 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=14.

Universal Simplifier and Solver


Done!



So x=14 and x-5=9.

Check equation in Step 5. 15=3(5) which is a true statement.

Step 7. ANSWER: Eve is 14 years old and Adam is 9 years old.

I hope the above steps were helpful.

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.

Good luck in your studies!

Respectfully,
Dr J