SOLUTION: 8 years ago, the sum of pete's age and matt's age was 26. matt is 4 years older than pete. how old is pete now?

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Question 1050016: 8 years ago, the sum of pete's age and matt's age was 26. matt is 4 years older than pete. how old is pete now?
Found 2 solutions by advanced_Learner, ikleyn:
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
x for pete age now
y for matt age now
8 years ago
x-8
y-8
x-8%2By-8=26
y=x+4
x-8%2Bx%2B4-8=26
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=19.
  • Graphical form: Equation x-8%2Bx-4=26 was fully solved.
  • Text form: x-8+x-4=26 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x-8%2Bx-4=26+%29
    For tutors: simplify_cartoon( x-8+x-4=26 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at x-highlight_red%28+8+%29%2Bx-highlight_red%28+4+%29=26.
Added fractions or integers together
It becomes x%2Bhighlight_green%28+-12+%29%2Bx=26.

Look at x%2Bhighlight_red%28+-12+%29%2Bx=26.
Moved -12 to the right of expression
It becomes x%2Bx%2Bhighlight_green%28+-12+%29=26.

Look at x%2Bx%2Bhighlight_red%28+-12+%29=26.
Removed extra sign in front of -12
It becomes x%2Bx-highlight_green%28+12+%29=26.

Look at highlight_red%28+x+%29%2Bhighlight_red%28+x+%29-12=26.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%281%2B1%29%2Ax+%29
It becomes highlight_green%28+%281%2B1%29%2Ax+%29-12=26.

Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ax-12=26.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ax-12=26.

Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29-12=26.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ax-12=26.

Look at 2%2Ax-12=highlight_red%28+26+%29.
Moved these terms to the left highlight_green%28+-26+%29
It becomes 2%2Ax-12-highlight_green%28+26+%29=0.

Look at 2%2Ax-highlight_red%28+12+%29-highlight_red%28+26+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-38+%29=0.

Look at 2%2Ax%2Bhighlight_red%28+-38+%29=0.
Removed extra sign in front of -38
It becomes 2%2Ax-highlight_green%28+38+%29=0.

Look at highlight_red%28+2%2Ax-38+%29=0.
Solved linear equation highlight_red%28+2%2Ax-38=0+%29 equivalent to 2*x-38 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=19.

Universal Simplifier and Solver


Done!


Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
When you get so simple equations, do not use online solver.
Solve them on your own.