document.write( "Question 116723: mark is 10 yrs younget than larry.larrys age8 years from now will wxceed twice marks age3 yearsago by 4 years . how old is each boy? \n" ); document.write( "
Algebra.Com's Answer #84922 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! mark is 10 yrs younger than larry. \n" ); document.write( "M = L - 10 \n" ); document.write( ": \n" ); document.write( "larry's age 8 years from now, will exceed twice marks age 3 years ago by 4 years. \n" ); document.write( "L + 8 = 2(M-3) + 4 \n" ); document.write( "Do some basic algebra on this \n" ); document.write( "L + 8 = 2M - 6 + 4 \n" ); document.write( "L + 8 = 2M - 2 \n" ); document.write( "L = 2M - 2 - 8 \n" ); document.write( "L = 2M - 10 \n" ); document.write( ": \n" ); document.write( "how old is each boy? \n" ); document.write( "Substitute (L-10) for M in the above equation, solve for L: \n" ); document.write( "L = 2(L-10) - 10 \n" ); document.write( "L = 2L - 20 - 10 \n" ); document.write( "L = 2L - 30 \n" ); document.write( "L - 2L = -30 \n" ); document.write( "-L = -30 \n" ); document.write( "L = -30/-1 \n" ); document.write( "L = +30 is Larry's age \n" ); document.write( "Then \n" ); document.write( "M = 30 - 10 = 20 is Marks age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solution using the statememt: \n" ); document.write( "\"larrys age8 years from now will exceed twice marks age 3 years ago by 4 years\". \n" ); document.write( "(30 + 8) = 2(20-3) + 4 \n" ); document.write( "38 = 2(17) + 4; confirms our solution \n" ); document.write( ": \n" ); document.write( "Did this method makes sense to you? Any questions? \n" ); document.write( " |