### Brain Teasers

# Three generations

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?

`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.Hide Answer Show Answer

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## Comments

That was boring!

TOO MANY WORDS! *head explodes*

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

(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

Fun teaser. I like math.

Wow you found an other anwer! I think.

Never mind the last coment.

Good teaser! Fairly straightforward, but fun.

fun teaser, thanks!

That was fun and great for those of us whose forte isn't math (though we keep trying). Thanks for a nice teaser!

Fun, Easy, But Fun.

I did the same thing as Stewie. Easy, but cute.

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.

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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