document.write( "Question 1128288: Gabrielle is 11
\n" );
document.write( " years older than Mikhail. The sum of their ages is 59
\n" );
document.write( ". What is Mikhail's age? \n" );
document.write( "
Algebra.Com's Answer #744747 by Quadratic1600(28)![]() ![]() You can put this solution on YOUR website! Hi\r \n" ); document.write( "\n" ); document.write( "g = m + 11 \n" ); document.write( "g+m = 59\r \n" ); document.write( "\n" ); document.write( "We can treat these like simultaneous equations and substitute g for m + 11\r \n" ); document.write( "\n" ); document.write( "m + 11 + m = 59 \n" ); document.write( "2m + 11 = 59 \n" ); document.write( "2m = 59 -11 \n" ); document.write( "2m = 48 \n" ); document.write( "m = 48/2 \n" ); document.write( "m=24\r \n" ); document.write( "\n" ); document.write( "So Mikhail's age is 24 and Gabrielle's age is 35 \n" ); document.write( "35 + 24 = 59\r \n" ); document.write( "\n" ); document.write( "In this sort of question you have to build two simultaneous equations. You don't have to substitute one equation in to another you could write\r \n" ); document.write( "\n" ); document.write( "g = m+ 11 \n" ); document.write( "g + m = 59\r \n" ); document.write( "\n" ); document.write( "And then\r \n" ); document.write( "\n" ); document.write( "g - m = 11 \n" ); document.write( "g + m = 59\r \n" ); document.write( "\n" ); document.write( "Because it is ± you add the two \n" ); document.write( "so you get 2g = 70 so g = 35\r \n" ); document.write( "\n" ); document.write( "35 -11 =24\r \n" ); document.write( "\n" ); document.write( "Either way you get the right answer\r \n" ); document.write( "\n" ); document.write( "Hope this was helpful\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |