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Square Your Age (Posted on 2003-04-15) Difficulty: 2 of 5
The other day, Jim excitedly told me, "Did you realise I will turn x years old in the year x^2?"

He wasn't the first to think of this. The 19th century mathematician August de Morgan used to used to boast that he was x years old in the year x^2. He died in 1871.

In what year was Jim born? When will his prediction be true? In what year was de Morgan born? What is x in each case?

  Submitted by pleasance    
Rating: 2.7500 (8 votes)
Solution: (Hide)
The nearest year in the future which is the square of an integer is 2025. So Jim was born in 1980 and will turn 45 in 2025 = 45^2. In his case, x = 45.

The next generation which will be able to boast this will only be born in 2070, and turn 46 in the year 2116 (i.e., x = 46). August de Morgan was born in 1806 and turned 43 in 1849 = 43^2. So for him x = 43.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAlternative MethodologyK Sengupta2009-01-30 02:23:48
SolutionSolution To The ProblemK Sengupta2007-04-10 12:59:22
Some ThoughtsanswerK Sengupta2007-04-10 12:35:47
SolutionNo Subjectkevin2005-10-29 20:03:08
better late than neverpleasance2003-05-13 05:13:39
welpDJ2003-04-20 14:34:57
re(4): Direct approachGamer2003-04-18 10:29:59
re(3): Direct approachTomM2003-04-16 06:30:28
re(2): Direct approachCharlie2003-04-16 05:29:07
re: Direct approachRavi Raja2003-04-16 05:16:37
SolutionDirect approachCharlie2003-04-16 04:57:34
re(2): Second PossibilityRavi Raja2003-04-16 04:44:16
re(2): Second PossibilityRavi Raja2003-04-16 04:38:08
re(2): Second PossibilityRavi Raja2003-04-16 04:19:46
re(2): Second PossibilityRavi Raja2003-04-16 04:09:29
re: Second PossibilityGamer2003-04-16 01:56:40
SolutionSecond PossibilityRavi Raja2003-04-15 21:35:08
SolutionFirst PossibilityRavi Raja2003-04-15 21:32:27
Solutionre: guessBryan2003-04-15 09:56:46
Some ThoughtsguessThe Mighty Puck2003-04-15 07:20:16
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