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)\"\" \"About 
You can put this solution on YOUR website!
People are considered 0 years old when they are born.
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\n" ); document.write( "That said, if you mean \"how old was I when you were born\", then there is a way to calculate it.
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\n" ); document.write( "A = one person's current age
\n" ); document.write( "B = another person's current age
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\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
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\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.
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\n" ); document.write( "1/4A - 2B = 0
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\n" ); document.write( "A -8B = 0
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\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
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\n" ); document.write( "A = 35- 35/9
\n" ); document.write( "A = 315/9 -35/9 = 280/9
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\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
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\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.
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\n" ); document.write( "A = 280/9
\n" ); document.write( "B = 35/9
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\n" ); document.write( "Re-read the question to be sure to answer it.
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\n" ); document.write( "\"How old was I when you were born?\"
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\n" ); document.write( "280/9 -35/9 = 245/9
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