document.write( "Question 269775: Mrs. Johnson is 3 times as old as her son. Ten years ago she was 5 times as old as her son was then. Find each of their ages. \n" ); document.write( "
Algebra.Com's Answer #197660 by Stitch(470)\"\" \"About 
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Set Up:
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\n" ); document.write( "Let Mrs. Johson's age = A
\n" ); document.write( "Let the son's age = B\r
\n" ); document.write( "\n" ); document.write( "Equation 1: \"A+=+3B\" (She is tree times as old as here son)
\n" ); document.write( "Equation 2: \"A+-+10+=+5%2A%28B+-+10%29\" (She was 5 times as old 10 years ago)\r
\n" ); document.write( "\n" ); document.write( "Solution:
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\n" ); document.write( "We can substitute 3B into equation 2 for A
\n" ); document.write( "Equation 2: \"A+-+10+=+5%2A%28B+-+10%29\"
\n" ); document.write( "\"%283B%29+-+10+=+5%2A%28B+-+10%29\" Simplify
\n" ); document.write( "\"3B+-+10+=+5B+-+50\" Subtract 3B from both sides
\n" ); document.write( "\"-10+=+5B+-+50+-+3B\" Add 50 to both sides
\n" ); document.write( "\"50+-+10+=+5B+-+3B\" Simplify
\n" ); document.write( "\"40+=+2B\" Divide both sides by 2
\n" ); document.write( "\"highlight%2820+=+b%29\"\r
\n" ); document.write( "\n" ); document.write( "Now we can plug 20 into equation 1 for B
\n" ); document.write( "Equation 1: \"A+=+3B\"
\n" ); document.write( "\"A+=+3%2A%2820%29\"
\n" ); document.write( "\"highlight%28A+=+60%29\"\r
\n" ); document.write( "\n" ); document.write( "Check you Answers
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\n" ); document.write( "Plug you values back into both equations to check them
\n" ); document.write( "Equation 1: \"A+=+3B\"
\n" ); document.write( "\"60+=+3%2A%2820%29\"
\n" ); document.write( "\"highlight%2860+=+60%29\"
\n" ); document.write( "Equation 2: \"A+-+10+=+5%2A%28B+-+10%29\"
\n" ); document.write( "\"60+-+10+=+5%2A%2820+-+10%29\"
\n" ); document.write( "\"highlight%2850+=+50%29\"
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