document.write( "Question 519496: you were a quarter of my age when I was twice your present age\" said A to B. In five years from now, our ages will add upto 45. how old was i when i was born? \n" ); document.write( "
Algebra.Com's Answer #345637 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! People are considered 0 years old when they are born. \n" ); document.write( ". \n" ); document.write( "That said, if you mean \"how old was I when you were born\", then there is a way to calculate it. \n" ); document.write( ". \n" ); document.write( "A = one person's current age \n" ); document.write( "B = another person's current age \n" ); document.write( ". \n" ); document.write( "In five years from now.. \n" ); document.write( "A's age will be A+5 \n" ); document.write( "B's age will be B+5 \n" ); document.write( "A+5 + B+5 = 45 \n" ); document.write( "so \n" ); document.write( "A + B = 35 \n" ); document.write( ". \n" ); document.write( "Now the tricky part is to figure out what the person said. \n" ); document.write( "It appears to be: 1/4 of my present age = twice your present age. \n" ); document.write( ". \n" ); document.write( "1/4A - 2B = 0 \n" ); document.write( ". \n" ); document.write( "A -8B = 0 \n" ); document.write( ". \n" ); document.write( "(35-B) -8B = 0 \n" ); document.write( "35 -9B = 0 \n" ); document.write( "35 = 9B \n" ); document.write( "9B = 35 \n" ); document.write( "B = 35/9 = 3 8/9 \n" ); document.write( ". \n" ); document.write( "A = 35- 35/9 \n" ); document.write( "A = 315/9 -35/9 = 280/9 \n" ); document.write( ". \n" ); document.write( "check \n" ); document.write( "280/9 + 35/9 = 315/9 = 35 \n" ); document.write( "So adding 5 years to both ages will make the sum = 45. \n" ); document.write( "correct \n" ); document.write( ". \n" ); document.write( "Twice B's current age = 70/9 \n" ); document.write( "Does this equal 1/4 of A's current age? \n" ); document.write( "Yes it does. \n" ); document.write( ". \n" ); document.write( "A = 280/9 \n" ); document.write( "B = 35/9 \n" ); document.write( ". \n" ); document.write( "Re-read the question to be sure to answer it. \n" ); document.write( ". \n" ); document.write( "\"How old was I when you were born?\" \n" ); document.write( ". \n" ); document.write( "280/9 -35/9 = 245/9 \n" ); document.write( " \n" ); document.write( " |