document.write( "Question 602276: Two years ago, a father was 8 times as old as his son. Ten years from now, the ratio of their ages will be 10:3. What is the father's age today?\r
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Algebra.Com's Answer #380181 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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( "\"Two years ago, a father was 8 times as old as his son.\" \n" ); document.write( "f - 2 = 8(s-2) \n" ); document.write( "f - 2 = 8s - 16 \n" ); document.write( "f = 8s - 16 + 2 \n" ); document.write( "f = 8s - 14 \n" ); document.write( ": \n" ); document.write( "\" Ten years from now, the ratio of their ages will be 10:3.\" \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "3(f+10) = 10(s+10) \n" ); document.write( "3f + 30 = 10s + 100 \n" ); document.write( "3f = 10s + 100 - 30 \n" ); document.write( "3f = 10s + 70 \n" ); document.write( "Replace f with (8s-14) \n" ); document.write( "3(8s-14) = 10s + 70 \n" ); document.write( "24s - 42 = 10s + 70 \n" ); document.write( "24s - 10s = 70 + 42 \n" ); document.write( "14s = 112 \n" ); document.write( "s = 112/14 \n" ); document.write( "s = 8 yrs is son's age \n" ); document.write( "then \n" ); document.write( "f = 8(8) - 14 \n" ); document.write( "f = 64 - 14 \n" ); document.write( "f = 50 yrs is father's age today\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |