document.write( "Question 880766: the combined ages of two people is 75 years. in 15 years time one person's age will be twice the other person's present age. find their present age? \n" ); document.write( "
Algebra.Com's Answer #531683 by Boyen(12)\"\" \"About 
You can put this solution on YOUR website!
x = person 1
\n" ); document.write( "y = person 2
\n" ); document.write( "x+y =75
\n" ); document.write( "x+15 = 2y
\n" ); document.write( "y = (x+15)/2
\n" ); document.write( "x+(x+15)/2 = 75
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=45.
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  • Graphical form: Equation \"x%2B%28x%2B15%29%2F2=75\" was fully solved.
  • Text form: x+(x+15)/2=75 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2B%28x%2B15%29%2F2=75+%29\"
    For tutors: simplify_cartoon( x+(x+15)/2=75 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"x%2B%28x%2B15%29%2F2=highlight_red%28+75+%29\".
Moved these terms to the left \"highlight_green%28+-75+%29\"
It becomes \"x%2B%28x%2B15%29%2F2-highlight_green%28+75+%29=0\".
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Look at \"x%2Bhighlight_red%28+%28x%2B15%29%2F2+%29-75=0\".
Expanded term \"1%2F2\" by using associative property on \"%28x%2B15%29\"
It becomes \"x%2Bhighlight_green%28+1%2F2%2Ax+%29%2Bhighlight_green%28+1%2F2%2A15+%29-75=0\".
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Look at \"x%2Bhighlight_red%28+1+%29%2F2%2Ax%2B1%2F2%2A15-75=0\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"x%2Bx%2F2%2B1%2F2%2A15-75=0\".
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Look at \"x%2Bx%2F2%2Bhighlight_red%28+1+%29%2F2%2Ahighlight_red%28+15+%29-75=0\".
Multiplied numerator integers
It becomes \"x%2Bx%2F2%2Bhighlight_green%28+15+%29%2F2-75=0\".
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Look at \"x%2Bx%2F2%2Bhighlight_red%28+15%2F2+%29-highlight_red%28+75+%29=0\".
Added fractions or integers together
It becomes \"x%2Bx%2F2-highlight_green%28+135%2F2+%29=0\".
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Look at \"highlight_red%28+x+%29%2Bhighlight_red%28+x%2F2+%29-135%2F2=0\".
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+x%2F2+%29\" replacing them with \"highlight_green%28+%281%2B1%2F2%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B1%2F2%29%2Ax+%29-135%2F2=0\".
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Look at \"%28highlight_red%28+1+%29%2Bhighlight_red%28+1%2F2+%29%29%2Ax-135%2F2=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+3%2F2+%29%29%2Ax-135%2F2=0\".
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Look at \"highlight_red%28+%28highlight_red%28+3%2F2+%29%29%2Ax+%29-135%2F2=0\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\",\"highlight_red%28+1%2F2+%29\"
It becomes \"highlight_green%28+3+%29%2Fhighlight_green%28+2+%29%2Ax-135%2F2=0\".
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Look at \"highlight_red%28+3%2F2%2Ax-135%2F2+%29=0\".
Solved linear equation \"highlight_red%28+3%2F2%2Ax-135%2F2=0+%29\" equivalent to 1.5*x-67.5 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=45.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "So x=45
\n" ); document.write( "x+15 = 2y
\n" ); document.write( "so 2y = 60
\n" ); document.write( "y=30 \n" ); document.write( "
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