Three generations
Math brain teasers require computations to solve.
Grandpa Jones says:
`My son Adam is 24 years younger than me and 35 years older than my grandson, Joey. Together our total ages add up to 100.` Can you figure out the age of each one of them?
Answer
Grandpa Jones was 24 when Adam was born and Joey was born 35 years later, so Grandpa has to be at least 59 years old. Add this to Adam`s age at Joey`s birth to get a total age of 94. If Joey was 1 year old, the total combined ages would be 97 (adding 1 year to every age.) But, if Joey is 2 years old then Grandpa would be 61 and Adam would be 37 and their combined ages would be 100.
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Comments
Dave_13
Dec 10, 2002
 That was boring! 
Sane
Mar 13, 2005
 TOO MANY WORDS! *head explodes* 
stewie82
Nov 17, 2005
 I used the equations:
(A) Grandpa = Adam + 24
(B) Adam = Joey + 35
(C) Grandpa + Adam + Joey = 100
then substitued so I was workng with "Joey"s (Grandpa = Joey + 24 + 35; Grandpa = Joey + 59)
so then equation (C) is:
(Joey + 59) + (Joey + 35) + Joey = 100
simplifies to:
3Joey + 94 = 100
3Joey = 6
Joey = 2
since Joey = 2
(B) Adam = 35 + 2
Adam = 37
(A) Grandpa = 24 + 37
Grandpa = 61
confirm:
Grandpa + Adam + Joey = 100
61 + 37 + 2 = 100
100 = 100
... um, yeah all my friends are math majors, I guess it rubbed off on me
great teaser 
hidentreasure
Nov 27, 2005
 Fun teaser. I like math. 
hidentreasure
Nov 27, 2005
 Wow you found an other anwer! I think. 
hidentreasure
Nov 27, 2005
 Never mind the last coment. 
musicmaker21113
Jan 09, 2006
 Good teaser! Fairly straightforward, but fun. 
SPUTNIK2
Jan 13, 2006
 fun teaser, thanks! 
vancon
Feb 11, 2006
 That was fun and great for those of us whose forte isn't math (though we keep trying). Thanks for a nice teaser! 
tca2
May 04, 2006
 Fun, Easy, But Fun. 
horse_luver
Jun 16, 2006
 I did the same thing as Stewie. Easy, but cute. 
Subtox
Mar 15, 2007
 This worked for me:
Let 'a' equal Adam's age.
a + (a  35) + (a + 24) = 100
3a  11 = 100
3a = 111
a = 37
So Adam is 37, Gramps is 37 + 24, or 61, and Joey is 37  35, or 2. 
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