document.write( "Question 240350: A man has 5 sons. Each son is 3 times older than the next younger. The oldest will be 3 times older than the next to younger in 3 years. How old is each son? \n" ); document.write( "
Algebra.Com's Answer #176142 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A man has 5 sons. Each son is 3 times older than the next younger. The oldest will be 3 times older than the next to younger in 3 years. How old is each son? \n" ); document.write( ": \n" ); document.write( "Sons, a, b, c, d, e; (a is the oldest) \n" ); document.write( "a = 3b \n" ); document.write( "b = 3c \n" ); document.write( "c = 3d \n" ); document.write( "d = 3e \n" ); document.write( ": \n" ); document.write( "\"The oldest will be 3 times older than the next to younger in 3 years.\" \n" ); document.write( "Assume the next to younger is c \n" ); document.write( ": \n" ); document.write( "a + 3 = 3(c + 3) \n" ); document.write( "a + 3 = 3c + 9 \n" ); document.write( "a = 3c + 9 - 3 \n" ); document.write( "a = 3c + 6 \n" ); document.write( ": \n" ); document.write( "b = 3c and a = 3b, therefore \n" ); document.write( "a = 3(3c) \n" ); document.write( "a = 9c \n" ); document.write( ": \n" ); document.write( "Replace a with 9c \n" ); document.write( "9c = 3c + 6 \n" ); document.write( "9c - 3c = 6 \n" ); document.write( "6c = 6 \n" ); document.write( "c = 1 yr old \n" ); document.write( "then \n" ); document.write( "a = 9(1) \n" ); document.write( "a = 9 yrs old \n" ); document.write( "and \n" ); document.write( "b = 3(1) \n" ); document.write( "b = 3 yrs old \n" ); document.write( ": \n" ); document.write( "This leaves d and e younger than 1, does make sense, does it? \n" ); document.write( " |