document.write( "Question 506471: Steve's age is seven-tenths of Paul's age. In 4 years Steve's age will be eight-elevenths of Paul's age. How old is Paul now? \r
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Algebra.Com's Answer #340174 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Present age of Steve = s
\n" ); document.write( "Present age of Paul = p
\n" ); document.write( "Steve's age is seven-tenths of Paul's age
\n" ); document.write( "s=7/10 * p
\n" ); document.write( "s=7p/10 ........(1)
\n" ); document.write( "In 4 years means we have to add 4 in the present ages of both
\n" ); document.write( "s+4=P+4
\n" ); document.write( "Then
\n" ); document.write( "Steve's age will be eight-elevenths of Paul's age
\n" ); document.write( "s+4=8/11 * (p+4)
\n" ); document.write( "s+4=8(p+4)/11
\n" ); document.write( "s+4=(8p+32)/11
\n" ); document.write( "11*(s+4)=8p+32
\n" ); document.write( "11s+44=8p+32
\n" ); document.write( "11s=8p+32-44
\n" ); document.write( "11s=8p-12...............(2)
\n" ); document.write( "Put the value of s from (1) to (2)
\n" ); document.write( "11(7p/10)=8p-12
\n" ); document.write( "77p/10=8p-12
\n" ); document.write( "77p=10*(8p-12)
\n" ); document.write( "77p=80p-120
\n" ); document.write( "77p-80p=-120
\n" ); document.write( "-3p=-120
\n" ); document.write( "Divide by -3 both sides of the equation
\n" ); document.write( "-3p/-3=-120/-3
\n" ); document.write( "p=40\r
\n" ); document.write( "\n" ); document.write( "Put the value of p in (1)
\n" ); document.write( "s=7p/10 ........(1)
\n" ); document.write( "s=7(40)/10
\n" ); document.write( "s=280/10
\n" ); document.write( "s=28
\n" ); document.write( "Present age of Steve = 28 years old
\n" ); document.write( "Present age of Paul = 40 years old\r
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