document.write( "Question 89988: Ann's age is 7/10 of Bill's age. In 4 years Ann will be 8/11 of Bill's age. How old is Bill now? \n" ); document.write( "
Algebra.Com's Answer #65317 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A = Ann's age now; B = Bill's age now \n" ); document.write( ": \n" ); document.write( "Just write what it says: \n" ); document.write( "\"Ann's age is 7/10 of Bill's age.\" \n" ); document.write( " A = .7B \n" ); document.write( ": \n" ); document.write( "\"In 4 years Ann will be 8/11 of Bill's age.\" \n" ); document.write( "(A+4) = (8/11)(B+4) \n" ); document.write( ": \n" ); document.write( "Substitute .7B for A and you have: \n" ); document.write( ".7B+4 = (8/11)(B+4) \n" ); document.write( ": \n" ); document.write( "Multiply equation by 11: \n" ); document.write( "11(.7B+4) = (11)(8/11)(B+4) \n" ); document.write( ": \n" ); document.write( " and you have: \n" ); document.write( "7.7B + 44 = 8(B+4) \n" ); document.write( ": \n" ); document.write( "7.7B + 44 = 8B + 32 \n" ); document.write( "; \n" ); document.write( "44 - 32 = 8B - 7.7B \n" ); document.write( ": \n" ); document.write( ".3B = 12 \n" ); document.write( ": \n" ); document.write( "How old is Bill now? \n" ); document.write( "B = 12/.3 \n" ); document.write( ": \n" ); document.write( "B = 40 yrs old \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: that makes A = .7*40 = 28 yrs old \n" ); document.write( "Using the statement, \"In 4 years Ann will be 8/11 of Bill's age.\" \n" ); document.write( "28 + 4 = 8/11(40 + 4) \n" ); document.write( "32 = 8/11(44); proves our solution \n" ); document.write( ": \n" ); document.write( "Did this help? \n" ); document.write( " \n" ); document.write( " |