document.write( "Question 1003824: The sum of the present ages of Joey and his mother is 46 years. In 4 years, Joey will be less than one half as old as him mother at that time. Find the present ages of Joey and his mother. \n" ); document.write( "

Algebra.Com's Answer #620497 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The sum of the present ages of Joey and his mother is 46 years.
\n" ); document.write( "j + m = 46
\n" ); document.write( " In 4 years, Joey will be one half as old as his mother at that time.
\n" ); document.write( "j + 4 = $\"1%2F2\"$ (m + 4)
\n" ); document.write( "multiply both sides by 2
\n" ); document.write( "2(j+4) = m + 4
\n" ); document.write( "2j + 8 = m + 4
\n" ); document.write( "2j - m = 4 - 8
\n" ); document.write( "2j - m = -4
\n" ); document.write( ":
\n" ); document.write( "Use elimination on these two equation
\n" ); document.write( "j + m = 46
\n" ); document.write( "2j - m = -4
\n" ); document.write( "--------------addition eliminates m, find j
\n" ); document.write( "3j = 42
\n" ); document.write( "j = 42/3
\n" ); document.write( "j = 14 yrs is Joey
\n" ); document.write( ":
\n" ); document.write( "Find Mom's age
\n" ); document.write( "14 + m = 46
\n" ); document.write( "m = 46 - 14
\n" ); document.write( "m = 32 yrs is Mom's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check that in the statement
\n" ); document.write( "\"In 4 years, Joey will be one half as old as his mother at that time.\"
\n" ); document.write( "14 + 4 = $\"1%2F2\"$ (32 + 4)
\n" ); document.write( "18 = $\"1%2F2\"$ (36)\r
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