document.write( "Question 991031: The sum of the ages of Rita and Lara is 92. In 6 years, the difference of their ages will be 24. How old is each now? \n" ); document.write( "

Algebra.Com's Answer #610959 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "The sum of the ages of Rita and Lara is 92.
\n" ); document.write( "R + L = 92
\n" ); document.write( "R = 92 - L
\n" ); document.write( "In 6 years, the difference of their ages will be 24.
\n" ); document.write( "(R + 6) - (L + 6) = 24
\n" ); document.write( "Remove brackets
\n" ); document.write( "R + 6 - L - 6 = 24
\n" ); document.write( "Replace R with 92 - L (Top equation)
\n" ); document.write( "92 - L + 6 - L - 6 = 24
\n" ); document.write( "Collect like terms
\n" ); document.write( "-2L = 24 - 92
\n" ); document.write( "-2L = - 68
\n" ); document.write( " L = 34
\n" ); document.write( "Lara = 34 yrs old
\n" ); document.write( "Rita = 58 yrs old
\n" ); document.write( "58 + 6 - 34 + 6
\n" ); document.write( "64 - 40 = 24
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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