document.write( "Question 697072: I know a priest who is 44 years old. Sometime ago, he was twice as old as I. In the following year he was one and a half times older than I.
\n" );
document.write( "How old am I now? \n" );
document.write( "
Algebra.Com's Answer #429648 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! I know a priest who is 44 years old. \n" ); document.write( " Sometime ago, he was twice as old as I. \n" ); document.write( " In the following year he was one and a half times older than I. \n" ); document.write( " How old am I now? \n" ); document.write( ": \n" ); document.write( "We can approach this with this relationship: \n" ); document.write( "let p = priest's age some time ago \n" ); document.write( "let a = your age some time ago \n" ); document.write( "Find the age in which p is twice a, and one year later p is 1.5a \n" ); document.write( ": \n" ); document.write( "2a = p \n" ); document.write( "and one year later \n" ); document.write( "1.5(a+1) = p + 1 \n" ); document.write( "1.5a + 1.5 = p + 1 \n" ); document.write( "1.5a = p + 1 - 1.5 \n" ); document.write( "1.5a = p - .5 \n" ); document.write( "replace p with 2a \n" ); document.write( "1.5a = 2a - .5 \n" ); document.write( "1.5a - 2a = -.5 \n" ); document.write( "-.5a = -.5 \n" ); document.write( "a = 1 year old some time ago \n" ); document.write( "and \n" ); document.write( "p = 2 yrs old some time ago \n" ); document.write( "then one year later: \n" ); document.write( "a = 2, then p = 3, we know that 1.5(2) = 3 \n" ); document.write( "there is only one year difference, therefore when the priest is 44 you are 43\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |