document.write( "Question 964924: classes A and B have 35 students each. if 7 girls shift from A to B,then the number of girls in classes would interchange. If 4 girls shift from class B to A,then the number of girls in class A would be twice the original number of girls in class B.what is the number of boys in class A and B? \n" ); document.write( "
Algebra.Com's Answer #589711 by tenkun(12)![]() ![]() ![]() You can put this solution on YOUR website! let the no of girls in class A= x \n" ); document.write( "the no of girls in class B= y \n" ); document.write( "7 girls shifted from A to B \n" ); document.write( "after shifting in class A= x-7 \n" ); document.write( " in class B= y+7 \n" ); document.write( "given condition is no of girls are interchanged \n" ); document.write( " so in class A - x-7 = y \n" ); document.write( " in class B - y+7 = x \n" ); document.write( " this gives equation x=y+7 ---------(1) \n" ); document.write( "now after shifting 4 girls from B to A \r \n" ); document.write( "\n" ); document.write( " in class A = x+4 \n" ); document.write( " in class B =y-4 \n" ); document.write( " given condition is the number of girls in class A would be twice the original number of girls in class B \n" ); document.write( " x+4= 2*y --------(2) \n" ); document.write( " substitute (1) in (2) \n" ); document.write( " y+7+4 = 2*y \n" ); document.write( " 2*y - y = 11 \n" ); document.write( " y=11 \n" ); document.write( " x= 11+7 =18 \n" ); document.write( " in class A girls = 18 \n" ); document.write( " boys = 35-18=17 \n" ); document.write( " in class B girls = 11 \n" ); document.write( " boys = 35-11=24\r \n" ); document.write( "\n" ); document.write( " HENCE SOLVED \n" ); document.write( " \n" ); document.write( " |