document.write( "Question 179138: Maria is 15 years older than her sister Juana. Six years ago, Maria was 6 times as old as Juana. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #134097 by ankor@dixie-net.com(22740)\"\" \"About 
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let m = Maria's age now
\n" ); document.write( "let j = Juana's age now
\n" ); document.write( ":
\n" ); document.write( "write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"Maria is 15 years older than her sister Juana.\"
\n" ); document.write( "m = j + 15
\n" ); document.write( ":
\n" ); document.write( "\" Six years ago, Maria was 6 times as old as Juana.\"
\n" ); document.write( "m - 6 = 6(j - 6)
\n" ); document.write( "m - 6 = 6j - 36
\n" ); document.write( "m = 6j - 36 + 6
\n" ); document.write( "m = 6j - 30
\n" ); document.write( ";
\n" ); document.write( " Find their present ages.
\n" ); document.write( ":
\n" ); document.write( "from the 1st equation, substitute (j+15) for m in the 2nd equation
\n" ); document.write( "j + 15 = 6j - 30
\n" ); document.write( "15 + 30 = 6j - j
\n" ); document.write( "45 = 5j
\n" ); document.write( "j = \"45%2F5\"
\n" ); document.write( "j = 9 yrs old is Juana's age
\n" ); document.write( "then
\n" ); document.write( "9 + 15 = 24 yrs is Maria's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"Six years ago, Maria was 6 times as old as Juana.\"
\n" ); document.write( "24 - 6 = 6(9 - 6) \n" ); document.write( "
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