document.write( "Question 214369: Respected sir,\r
\n" ); document.write( "\n" ); document.write( "plz solve my maths problem.\r
\n" ); document.write( "\n" ); document.write( "1] In ten years ,david will be four times as old as aaron.twenty years ago,david was twice as old as ellen,if david is seven years older than ellen,how old is aaron?\r
\n" ); document.write( "\n" ); document.write( "waiting for yur reply.\r
\n" ); document.write( "\n" ); document.write( "thank u. \n" ); document.write( "

Algebra.Com's Answer #161908 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is seven years older than Ellen,how old is Aaron?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the age of Aaron and let y be the age of David\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let y+10=4(x+10) In ten years, David will be four times as old as Aaron.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let y-7 age of Ellen.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. y-20=2(y-7-20) Twenty years ago, David was twice as old as Ellen.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Solve y in Step 4 and then Solve Step 2 to get age of Aaron.\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: y=34.
Graphical form: Equation $\"y-20=2%2A%28y-7-20%29\"$ was fully solved.
Text form: y-20=2*(y-7-20) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+y-20=2%2A%28y-7-20%29+%29\"$
For tutors: simplify_cartoon( y-20=2*(y-7-20) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"y-20=2%2A%28y-highlight_red%28+7+%29-highlight_red%28+20+%29%29\"$ .
Added fractions or integers together
It becomes $\"y-20=2%2A%28y%2Bhighlight_green%28+-27+%29%29\"$ .
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Look at $\"y-20=2%2A%28y%2Bhighlight_red%28+-27+%29%29\"$ .
Removed extra sign in front of $\"-27\"$
It becomes $\"y-20=2%2A%28y-highlight_green%28+27+%29%29\"$ .
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Look at $\"y-20=highlight_red%28+2%2A%28y-27%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-2%2A%28y-27%29+%29\"$
It becomes $\"y-20-highlight_green%28+2%2A%28y-27%29+%29=0\"$ .
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Look at $\"y-highlight_red%28+20+%29-2%2A%28y-27%29=0\"$ .
Moved $\"-20\"$ to the right of expression
It becomes $\"y-2%2A%28y-27%29-highlight_green%28+20+%29=0\"$ .
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Look at $\"y-highlight_red%28+2%2A%28y-27%29+%29-20=0\"$ .
Expanded term $\"-2\"$ by using associative property on $\"%28y-27%29\"$
It becomes $\"y-highlight_green%28+2%2Ay+%29%2Bhighlight_green%28+2%2A27+%29-20=0\"$ .
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Look at $\"y-2%2Ay%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+27+%29-20=0\"$ .
Multiplied numerator integers
It becomes $\"y-2%2Ay%2Bhighlight_green%28+54+%29-20=0\"$ .
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Look at $\"y-2%2Ay%2Bhighlight_red%28+54+%29-highlight_red%28+20+%29=0\"$ .
Added fractions or integers together
It becomes $\"y-2%2Ay%2Bhighlight_green%28+34+%29=0\"$ .
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Look at $\"highlight_red%28+y+%29-highlight_red%28+2%2Ay+%29%2B34=0\"$ .
Eliminated similar terms $\"highlight_red%28+y+%29\"$ , $\"highlight_red%28+-2%2Ay+%29\"$ replacing them with $\"highlight_green%28+%281-2%29%2Ay+%29\"$
It becomes $\"highlight_green%28+%281-2%29%2Ay+%29%2B34=0\"$ .
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Look at $\"%28highlight_red%28+1+%29-highlight_red%28+2+%29%29%2Ay%2B34=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-1+%29%29%2Ay%2B34=0\"$ .
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Look at $\"%28highlight_red%28+-1+%29%29%2Ay%2B34=0\"$ .
Removed extra sign in front of $\"-1\"$
It becomes $\"%28-highlight_green%28+1+%29%29%2Ay%2B34=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+1+%29%29%2Ay+%29%2B34=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"-highlight_green%28+1+%29%2Ay%2B34=0\"$ .
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Look at $\"-highlight_red%28+1+%29%2Ay%2B34=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"-y%2B34=0\"$ .
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Look at $\"highlight_red%28+-y%2B34+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-y%2B34=0+%29\"$ equivalent to -y+34 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: y=34.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Step 6. Now that y is 34 years. Then\r
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\n" ); document.write( "\n" ); document.write( " $\"y%2B10=4%28x%2B10%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"34%2B10=4x%2B40\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"44=4x%2B40\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"44-40=4x\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"4=4x\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"1=x\"$ \r
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\n" ); document.write( "\n" ); document.write( "Step 7. ANSWER is Aaron is one year old.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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