document.write( "Question 422332: John is twenty years younger than Amy, and in five years' time he will be half her age. What is John's age now? \n" ); document.write( "

Algebra.Com's Answer #294798 by algebrahouse.com(1659) $\"\"$ $\"About$

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\"John is twenty years younger than Amy, and in five years' time he will be half her age. What is John's age now?\"\r
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\n" ); document.write( "\n" ); document.write( "x = Amy's age now
\n" ); document.write( "x - 20 = John's age now\r
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\n" ); document.write( "\n" ); document.write( "x + 5 = Amy's age in 5 years
\n" ); document.write( "x - 15 = John's age in 5 years\r
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\n" ); document.write( "\n" ); document.write( "x - 15 = 1/2(x + 5) {in five years, he will be half her age}
\n" ); document.write( "2x - 30 = x + 5 {multiplied entire equation by 2 to clear fraction}
\n" ); document.write( "2x = x + 35 {added 30 to both sides}
\n" ); document.write( "x = 35 {subtracted x from both sides}
\n" ); document.write( "x - 20 = 15 {substituted 35, in for x, into x - 20}\r
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\n" ); document.write( "\n" ); document.write( "Amy is 35 now
\n" ); document.write( "John is 15 now
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