document.write( "Question 479098: A father is 36 years older than his son. In 9 years, he will be 1/3 of his father's age. How old are they? \n" ); document.write( "
Algebra.Com's Answer #328293 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Father’s age = F \n" ); document.write( "Son’s age = S \n" ); document.write( "Father is 36 years older. If we add 36 to the son’s age both will be the same age. \n" ); document.write( "F=S+36 …………(1) \n" ); document.write( "In 9 years means add 9 to both ages \n" ); document.write( "F+9=S+9 \n" ); document.write( "Son will be 1/3 of his father’s age \n" ); document.write( "(F+9)/3=S+9 \n" ); document.write( "F+9=3(S+9) \n" ); document.write( "F+9=3S+27 \n" ); document.write( "F=3S+27-9 \n" ); document.write( "F=3S+18 \n" ); document.write( "Put the value of F from equation (1) \n" ); document.write( "S+36=3S+18 \n" ); document.write( "36-18=3S-S \n" ); document.write( "18=2S \n" ); document.write( "18/2=S \n" ); document.write( "S=9 \n" ); document.write( "Put the value of S in equation (1) \n" ); document.write( "F=S+36 \n" ); document.write( "F=9+36 \n" ); document.write( "F=45\r \n" ); document.write( "\n" ); document.write( "So Father is 45 years old and Son is 9 years old. \n" ); document.write( " \n" ); document.write( " |