Question

question (logical reasoning)

Answer 1

A man would like to take a new health insurance.
An officer taking care of these matters says to
the man:

"Please tell me how many children you
have."
The man answers: "I have three of them."

The officer: "What are the ages of your children?".

The man answers: "The product of the ages is
equal to 36."

The officer replies: "This is not
enough information Sir!".

"Sorry that I was a little
bit unclear, but the sum of the ages is equal to
the number of shops in front of your office," says
the man.

The officer: "This still isn't enough
information Sir!".

The man replies: "My oldest
child loves chocolate."

The officer: "Thanks for
your cooperation,I now know the ages."


Are you as smart as the officer? Then give the
sum of the ages of the children.


\(\large \color{black}{\begin{align}
& a.)\ 13 \hspace{.33em}\\~\\
& b.)\ 22 \hspace{.33em}\\~\\
& c.)\ 36 \hspace{.33em}\\~\\
& d.)\ 38 \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

ok so we have to find xyz that x*y*z=36

Answer 3

yes

Answer 4

i have also found a link to answer which isn't making sense to me

http://www.pzzls.com/insurance_company_puzzle/solution.html

Answer 5

The product of the ages is 36. Using this one can make the following combination of ages:

1,36, 1 sum = 38
1,18, 2 sum = 22
1,12, 3 sum = 16
1, 9, 4 sum = 14
1, 6, 6 sum = 13
2, 9, 2 sum = 13
2, 6, 3 sum = 11
3, 3, 4 sum = 10

After the man had said that the product of the ages is equal to 36, the officer didn't have enough information. Then he was told that the sum is equal to number of shops in front of the office. He replied by saying that this still isn't enough information. So the sum of the ages should be 13, because otherwise he would have known the ages immediately. The last statement is that that the oldest child loves chocolate. So there is an oldest child. Hence the officer concludes that the ages of the children are 2, 2 and 9 years.

Answer 6

what does this mean-> "My oldest
child loves chocolate."

Answer 7

that there should be one that is the oldest of them all :)

Answer 8

it means that they are not all the same age

Answer 9

did you read what I posted?

Answer 10

yea i read that it is not understable to me

Answer 11

ok tell me which part so I can clarify :)

Answer 12

how can the ages be 2,2,9 because of staement "my oldest son loves choclate"

Answer 13

oh is not mostly about that statement
let me explain more so that you can understand
for the first statement we have that they all have to equal 36 as a product
therefore you start dividing 36 by 1 but that would be 1,0,36 and 0 is not an age so we keep going, by 2, etc.
Then we have that it is is equal to number of shops in front of the office. The only number giving two answers that are the same are the numbers that end both adding 13, that is why he said that he didn't have enough information. And Lastly the chocolate one means that there HAS to be an older child and so far we had
1, 6, 6 sum = 13
2, 9, 2 sum = 13
and 6 and 6 would mean that they are twins so they can't be older than the other that is why 2,9,2 is the answer because 9 is older than 2,2(twins)

Answer 14

but the total number of shops is not given here

Answer 15

no but the person did the math and his following sentence was that there was not enough information there if we look at the list of the products he would have guesses any other option that wasn't repeated
1,36, 1 sum = 38
1,18, 2 sum = 22
1,12, 3 sum = 16
1, 9, 4 sum = 14
1, 6, 6 sum = 13<--repeated
2, 9, 2 sum = 13<--repeated
2, 6, 3 sum = 11
3, 3, 4 sum = 10

Answer 16

but since that was repeated he couldn't know
it would be almost as if I told you
ABC
DBA
GHF
OKJ
and I told you that my name had 3 different letters that are the same as the number of siblings I have

Answer 17

you wouldn't know but BB and AA are repeated so now you narrow down to 2 options

Answer 18

makes sense now?

Answer 19

ok thnks

Answer 20

no problem :)

Answer 21

this wass not a math question lol

Answer 22

i am so dumb

Answer 23

nah is ok no worries :)

Answer 24

i shud have applied common sense

Answer 25

yes but don't worry I had a problem like this 2 ago in my class and I didn't get it either because I didn't use logic just like you said :)