document.write( "Question 1014016: the sum of two numbers subtracted from twice the bigger number result is 5 if the smaller number of the two is decreased five times, it would be the same as 11 more than twice the bigger number. What are the number \n" ); document.write( "
Algebra.Com's Answer #630338 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a = the larger number \n" ); document.write( "b = the smaller \n" ); document.write( ": \n" ); document.write( "write an equation for each statement \n" ); document.write( ": \n" ); document.write( " the sum of two numbers subtracted from twice the bigger number result is 5 \n" ); document.write( "2a - (a+b) = 5 \n" ); document.write( "2a - a - b = 5 \n" ); document.write( "a = b + 5 \n" ); document.write( ": \n" ); document.write( " if the smaller number of the two is decreased five times, it would be the same as 11 more than twice the bigger number. \n" ); document.write( "Note: \"I question the logic in this statement, decreasing the smaller number equals adding to and multiplying the larger number!!\" come on! \n" ); document.write( ": \n" ); document.write( "Perhaps there is a typo in there somewhere. maybe \"increased 5 times\" \n" ); document.write( "5b = 2a + 11 \n" ); document.write( "replace a with (b+5) \n" ); document.write( "5b = 2(b+5) + 11 \n" ); document.write( "5b = 2b + 10 + 11 \n" ); document.write( "5b - 2b = 21 \n" ); document.write( "3b = 21 \n" ); document.write( "b = 21/3 \n" ); document.write( "b = 7 \n" ); document.write( ": \n" ); document.write( "Find a \n" ); document.write( "a = b + 5 \n" ); document.write( "a = 7 + 5 \n" ); document.write( "a = 12 \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " What are the numbers; perhaps 12 and 7 \n" ); document.write( " |