document.write( "Question 259513: Mike and Jay are brothers. Mike is 33. This is 3 times as old as Jay was when Mike was the age that Jay is today. \r
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document.write( "How old is Jay?
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Algebra.Com's Answer #191010 by mathbath(13)![]() ![]() ![]() You can put this solution on YOUR website! Lets say Jay is \"X\" yrs old today. --> Statement (1)\r \n" ); document.write( "\n" ); document.write( "Lets say Jay was \"Y\" yrs old when Mike was what Jay is today that is \"X\" yrs old. --> Statement (2)\r \n" ); document.write( "\n" ); document.write( "So in short, \n" ); document.write( "Lets say Jay was \"Y\" yrs old when Mike was \"X\" yrs old. --> Statement (3)\r \n" ); document.write( "\n" ); document.write( "Now we know from the problem that Mike is 33 yrs old now which is 3 times when Jay was \"Y\" yrs old.\r \n" ); document.write( "\n" ); document.write( "So,\r \n" ); document.write( "\n" ); document.write( "3Y = 33 \n" ); document.write( "Y = 11.\r \n" ); document.write( "\n" ); document.write( "So when Jay was 11 yrs old Mike was \"X\" yrs old. (From Statement (3) )\r \n" ); document.write( "\n" ); document.write( "Now Mike is 33 today. Lets say it took Mike \"Z\" yrs to reach 33 from when he was \"X\" \n" ); document.write( "So, \n" ); document.write( "X + Z = 33 \n" ); document.write( "Z = 33 - X --> (4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now Jay is \"X\" yrs old today --> (From Statement (1) ) \n" ); document.write( "It took him the same \"Z\" yrs to reach \"X\" from when he was 11. \n" ); document.write( "So,\r \n" ); document.write( "\n" ); document.write( "11 + Z = X \n" ); document.write( "Z = X - 11 --> (5)\r \n" ); document.write( "\n" ); document.write( "From (4) and (5) \n" ); document.write( "33 - X = X - 11 \n" ); document.write( "33 + 11 = X + X \n" ); document.write( "44 = 2X \n" ); document.write( "44/2 = X \n" ); document.write( "X = 22\r \n" ); document.write( "\n" ); document.write( "So Jay 22 yrs old today.\r \n" ); document.write( "\n" ); document.write( "Verification: \n" ); document.write( "---------------\r \n" ); document.write( "\n" ); document.write( "Mike is 33 today which is 3 times what Jay was which is 11 when Mike was the age what Jay is today which is 22. \n" ); document.write( " |