document.write( "Question 342918: I am having trouble learning how to write the algebraic expressions for word problems. I can solve the problems if I have the expression, but can't figure out how to get the problem? Example : The sum of 2 brothers' ages is 38. One brother is 10 years older than the other. How old is each brother? Example 2: Matthew loaned three friends a total of $27. All he can remember is that he loaned the second friend $5 more than the first and the third friend twice as much as the second. How much did he loan each of the 3 friends? Any help would be greatly appreciated. thanks! \n" ); document.write( "
Algebra.Com's Answer #245421 by kcanil08(11)![]() ![]() You can put this solution on YOUR website! Problem1: \n" ); document.write( "let the ages be x and y. \n" ); document.write( "as the sum of thrie age is 38. \n" ); document.write( "x+y=38....eqn 1 \n" ); document.write( "and one is 10 years older than other means \n" ); document.write( "x+10=y \n" ); document.write( "now just simple math \n" ); document.write( "substututing value of y in eqn 1 \n" ); document.write( "x+x+10=38 \n" ); document.write( "so x=14 \n" ); document.write( "&y=x+10=24 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "Problem2: \n" ); document.write( "let us suppose he gave x $ to first fren. \n" ); document.write( "it is said he gave 5$ more to 2nd than to first. so he gave (x+5) $ to 2nd. \n" ); document.write( "also he gave double of 2nd to 3rd. so he gave (x+5)*2 $ to 3rd. \n" ); document.write( "as matthew in total gave 27 $, \n" ); document.write( "x+(x+5)+(x+5)*2 = 27 \n" ); document.write( "x+x+5+2x+10=27 \n" ); document.write( "4x=27-15 \n" ); document.write( "4x=12 \n" ); document.write( "so x=3 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "therefore \n" ); document.write( "loan to 1st friend = x = 3$ \n" ); document.write( "loan to 2nd friend = x+5 = 8$ \n" ); document.write( "loan to 3rd friend = (x+5)*2 = 16$\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(hope this help. please post one question in one post....i like solve problems but when there are two problem mixed i just leave, in most of the cases..if you have more problems email me. my email is akc2@uno.edu) \n" ); document.write( " |