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Mrs.peele lacks 7 years from being five times as old as her son.
\n" ); document.write( "6 years from now she will lack 3 years from being three times as old as her son is then.
\n" ); document.write( " Find each of their ages.
\n" ); document.write( ":
\n" ); document.write( "let p = Mrs Peele's age
\n" ); document.write( "let s = son's age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ";
\n" ); document.write( "\"Mrs.peele lacks 7 years from being five times as old as her son.\"
\n" ); document.write( "p = 5s - 7
\n" ); document.write( ":
\n" ); document.write( " 6 years from now she will lack 3 years from being three times as old as her son is then.
\n" ); document.write( "p + 6 = 3(s+6) - 3
\n" ); document.write( "p + 6 = 3s + 18 - 3
\n" ); document.write( "p = 3s + 15 - 6
\n" ); document.write( "p = 3s + 9
\n" ); document.write( "replace p with (5s-7), from the 1st statement
\n" ); document.write( "5s - 7 = 3s + 9
\n" ); document.write( "5s - 3s = 9 + 7
\n" ); document.write( "2s = 16
\n" ); document.write( "s = 16/2
\n" ); document.write( "s = 8 yrs is the son's age
\n" ); document.write( "then
\n" ); document.write( "p = 5s - 7
\n" ); document.write( "p = 5(8) - 7
\n" ); document.write( "p = 40 - 7
\n" ); document.write( "p = 33 yrs is Mrs's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the statement:
\n" ); document.write( "\"6 years from now she will lack 3 years from being three times as old as her son is then. \"
\n" ); document.write( "33 + 6 = 3(8 + 6) - 3
\n" ); document.write( "39 = 3(14) - 3
\n" ); document.write( "39 = 42 - 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "