document.write( "Question 62371: John's present age is three-fourths of Sally's present age. In five years, John's age will be four-fifths of Sarah's age at that time. What are the present ages of John and Sally? \n" ); document.write( "
Algebra.Com's Answer #43072 by joyofmath(189)![]() ![]() ![]() You can put this solution on YOUR website! John's present age is three-fourths of Sally's present age. In five years, John's age will be four-fifths of Sarah's age at that time. What are the present ages of John and Sally?\r \n" ); document.write( "\n" ); document.write( "The two equations are: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Replace J with (3/4)S in the 2nd equation: \n" ); document.write( " \n" ); document.write( "Multiply both sides of the equation by 20 to get rid of the fractions: \n" ); document.write( " \n" ); document.write( "Or, \n" ); document.write( "Or, \n" ); document.write( "\n" ); document.write( "So, \n" ); document.write( "Sally is 20 years old. John is 3/4 of Sally's age so John is 15.\r \n" ); document.write( "\n" ); document.write( "Verification: \n" ); document.write( "In 5 years Sally will be 25 and John will be 20 which is indeed four-fifth's of Sally's age in 5 years. \n" ); document.write( " |