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

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) (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 was fully solved.
Text form: x+1=3*(x-9) simplifies to 0=0
Cartoon (animation) form:
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 .
Moved these terms to the left highlight_green%28+-3%2A%28x-9%29+%29

It becomes .

Look at .
Moved

to the right of expression
It becomes .

Look at .
Expanded term

by using associative property on %28x-9%29

It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Eliminated similar terms highlight_red%28+x+%29

replacing them with highlight_green%28+%281-3%29%2Ax+%29

It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of

It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29

It becomes .

Look at .
Solved linear equation highlight_red%28+-2%2Ax%2B28=0+%29

equivalent to -2*x+28 =0
It becomes .
Result:
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

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