document.write( "Question 504466: The average of a class of 40 students is 12 years. if the teacher's age is also included, the average age increases by one year. The teacher's age is? \n" ); document.write( "
Algebra.Com's Answer #339613 by geetha_rama(94)![]() ![]() ![]() You can put this solution on YOUR website! Assume x be the Age of the student. \n" ); document.write( "Average age of 40 students = 12 years \n" ); document.write( "Total age is : \n" ); document.write( " 40x = 12*40 \n" ); document.write( "40x = 480 -> Equation 1\r \n" ); document.write( "\n" ); document.write( "Let teachers age be y \n" ); document.write( "Average age of 41 people (40 studenets + 1 teacher) = 13 years \n" ); document.write( "Hence total age \n" ); document.write( " 40x + y = 533 -> Equation 2 \r \n" ); document.write( "\n" ); document.write( "Subtracting equation 1 from equation 2, we get \n" ); document.write( " y = 53\r \n" ); document.write( "\n" ); document.write( "Age of teacher = 53 years \n" ); document.write( " |