document.write( "Question 1137573: Today, Paul is 27 years younger than his mother. In 5 years, Paul's she will be 1/4 of his mother's age. How old is Paul's mother today?\r
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document.write( "Please help me answer this! \n" );
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Algebra.Com's Answer #755456 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x = paul's mother's age. \n" ); document.write( "paul is 27 years younger than his mother today, so his age is x - 27. \n" ); document.write( "in 5 years,he will be 1/4 of his mother's age. \n" ); document.write( "formula for that is x - 27 + 5 = 1/4 * (x + 5) \n" ); document.write( "simplify to get x - 22 = 1/4 * (x + 5) \n" ); document.write( "multiply both sides of this equation by 4 to get 4 * (x - 22) = x + 5. \n" ); document.write( "simplify to get 4x - 88 = x + 5 \n" ); document.write( "subtract x from both sides of this equation and add 88 to both sides of this equation to get 4x - x = 88 + 5 \n" ); document.write( "combine like terms to get 3x = 93. \n" ); document.write( "solve for x to get x = 93/3 = 31.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "his mother is 31 years old today. \n" ); document.write( "paul is 27 years younger, so paul is 31 - 27 = 4. \n" ); document.write( "5 years from now, paul will be 9 and his mother will be 36. \n" ); document.write( "9 is equal to 1/4 * 36 because 4 * 9 = 36.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution looks good. \n" ); document.write( "solution is that paul's mother is 31 years old today.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |