document.write( "Question 286003: The age of the father is 3 years more than 3 times the age of son. After 3 years the age of the father will be 10 years more then twice the age of the son. Find their present ages? \n" ); document.write( "
Algebra.Com's Answer #207533 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The age of the father is 3 years more than 3 times the age of son. \n" ); document.write( " After 3 years the age of the father will be 10 years more then twice the age of the son. \n" ); document.write( " Find their present ages? \n" ); document.write( ": \n" ); document.write( "Let f = father's present age \n" ); document.write( "Let s = son's present age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"The age of the father is 3 years more than 3 times the age of son.\" \n" ); document.write( "f = 3s + 3 \n" ); document.write( ": \n" ); document.write( "\"After 3 years the age of the father will be 10 years more then twice the age of the son.\" \n" ); document.write( "f + 3 = 2(s+3) + 10 \n" ); document.write( "f + 3 = 2s + 6 + 10 \n" ); document.write( "f = 2s + 16 - 3 \n" ); document.write( "f = 2s + 13 \n" ); document.write( ": \n" ); document.write( " Find their present ages? \n" ); document.write( ": \n" ); document.write( "Replace f with (3s+3) \n" ); document.write( "3s + 3 = 2s + 13 \n" ); document.write( "3s - 2s = 13 \n" ); document.write( "s = 13 yrs is the son's age \n" ); document.write( "then \n" ); document.write( "f = 2(13) + 13 \n" ); document.write( "f = 39 yrs is father's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"After 3 years the age of the father will be 10 years more then twice the age of the son.\" \n" ); document.write( "39 + 3 = 2(13+3) + 10 \n" ); document.write( "42 = 2(16) + 10 \n" ); document.write( " |