document.write( "Question 1141075: twice carry's age, added to sam's age, gives you a total of 20. if 3 times carry's age is subracted from twice sam's age, the result is 3 times carry's age, increased by 10. how old is each \n" ); document.write( "
Algebra.Com's Answer #761619 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! c = Carryy's present age \n" ); document.write( "s = Sam's age \n" ); document.write( ": \n" ); document.write( "twice carry's age, added to sam's age, gives you a total of 20. \n" ); document.write( "2c + s = 20 \n" ); document.write( " if 3 times carry's age is subtracted from twice sam's age, the result is 3 times carry's age, increased by 10. \n" ); document.write( "2s - 3c = 3c + 10 \n" ); document.write( "2s - 3c - 3c = 10 \n" ); document.write( "2s - 6c = 10 \n" ); document.write( ": \n" ); document.write( "multiply the first equation by 2 and rearrange, subtract the above equation \n" ); document.write( "2s + 4c = 40 \n" ); document.write( "2s - 6c = 10 \n" ); document.write( "----------------- \n" ); document.write( "0 + 10c = 30 \n" ); document.write( "c = 30/10 \n" ); document.write( "c = 3 yrs is Carry's age \n" ); document.write( "Find s \n" ); document.write( "2s - 6(3) = 10 \n" ); document.write( "2s = 10 + 18 \n" ); document.write( "2s = 28 \n" ); document.write( "s = 28/2 \n" ); document.write( "s = 14 yrs is Sam's age \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "check solution in statement \n" ); document.write( "\"if 3 times carry's age is subracted from twice sam's age, the result is 3 times carry's age, increased by 10. \" \n" ); document.write( "2(14) - 3(3) = 3(3) + 10 \n" ); document.write( "28 - 9 = 9 + 10 \n" ); document.write( "28 = 9 + 9 + 10 \n" ); document.write( "28 = 28 \n" ); document.write( " |