document.write( "Question 982732: Robert is 5 years older than Manuel.Four years ago Manuel's age was three-fourths of Robert's age.Find their ages now \n" ); document.write( "

Algebra.Com's Answer #603518 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "Robert is 5 years older than Manuel
\n" ); document.write( "R = 5 + M......(1)
\n" ); document.write( "Four years ago Manuel's age was
\n" ); document.write( "three-fourths of Robert's age.
\n" ); document.write( "M - 4 = 3/4(R - 4).......(2)
\n" ); document.write( ".....
\n" ); document.write( "Take Equation(1)
\n" ); document.write( "R = 5 + M and rearrange
\n" ); document.write( "so, M = R - 5
\n" ); document.write( "In Equation(2)
\n" ); document.write( "substitute R - 5 for the
\n" ); document.write( "M in Equation (2)
\n" ); document.write( "M - 4 = 3/4(R - 4).......(2)
\n" ); document.write( "(R - 5) -4 = 3/4(R - 4)
\n" ); document.write( "R - 5 - 4 = 3/4R - 3
\n" ); document.write( "Collect like terms
\n" ); document.write( "R - 3/4R = - 3 + 5 + 4
\n" ); document.write( "1/4R = 6
\n" ); document.write( "R = 24
\n" ); document.write( "Robert is 24 yrs old
\n" ); document.write( "Manuel is 19 yrs old
\n" ); document.write( "Hope this helps:-) \n" ); document.write( "

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