document.write( "Question 1199605: The sun of Anna's age and Ben's age is 40.Two years ago, Anna was thrice as Ben. Find the Anna's age \n" ); document.write( "
Algebra.Com's Answer #833543 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "A = Anna's current age
\n" ); document.write( "B = Ben's current age\r
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\n" ); document.write( "\n" ); document.write( "The sum of these current ages is 40.
\n" ); document.write( "A+B = 40
\n" ); document.write( "Pick A or B to isolate. I'll solve for B.
\n" ); document.write( "B = 40-A\r
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\n" ); document.write( "\n" ); document.write( "A-2 = Anna's age two years ago
\n" ); document.write( "B-2 = Ben's age two years ago\r
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\n" ); document.write( "\n" ); document.write( "Two years ago, Anna was thrice as Ben.
\n" ); document.write( "A-2 = 3(B-2)\r
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\n" ); document.write( "\n" ); document.write( "Apply substitution and solve for \"A\".
\n" ); document.write( "A-2 = 3(B-2)
\n" ); document.write( "A-2 = 3(40-A-2) ...... replace B with 40-A
\n" ); document.write( "A-2 = 3(38-A)
\n" ); document.write( "A-2 = 114-3A
\n" ); document.write( "A+3A = 114+2
\n" ); document.write( "4A = 116
\n" ); document.write( "A = 116/4
\n" ); document.write( "A = 29
\n" ); document.write( "Anna is currently 29 years old.\r
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\n" ); document.write( "\n" ); document.write( "B = 40-A
\n" ); document.write( "B = 40-29
\n" ); document.write( "B = 11
\n" ); document.write( "Ben is currently 11 years old.\r
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\n" ); document.write( "\n" ); document.write( "Rewind the clock 2 years.
\n" ); document.write( "Anna was 29-2 = 27 years old.
\n" ); document.write( "Ben was 11-2 = 9 years old.
\n" ); document.write( "We see that Anna's past age is exactly triple that of Ben's past age (3*9 = 27).
\n" ); document.write( "The answer is confirmed.\r
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\n" ); document.write( "\n" ); document.write( "Answer: Anna's current age is 29 years old
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