# Math

posted by .

A census taker came back to a house where a man lived with his three children. The census taker asked, "What is your house number?" The man replied, "The product of my children's ages is 72 and the sum of their ages is my house number." "But that's not enough information," the census taker insisted. "All right," answered the farmer, "the oldest loves cherry pie.

What is the farmer's house number?

Is the answer for this problem 14 or 15?

• Math -

census taker walked up to the man of the house and asks how old are your 3
children the man says i don't know , but the product of their ages is 72 and
the sum of their ages is my house number. the census taker walks out to the front of the house walks back and says ok i still don't know what the ages are. I forget to tell you the man said the oldest one likes chocolate pudding. the census taker then writes down the ages of the children and
leaves. how old are the children?

What combinations of three numbers multiply out to equal 72 and what are their sums?
Products -

Sums -

If the house number matched any of the sums, the census taker would immediately know the three ages. Since he came back and said he didn't have enough information, it meant that the house number he saw must have appeared more than once in the list of sums and he therefore could not know which of the sums was right. The man's response answered his question.
Can you you see why now?

Good luck.

• Math -

How do u find the GCF of a #

• Math -

No, the oldest one likes cherry pie, not chocolate pudding.

"What combinations of three numbers multiply out to equal 72 and what are their sums? " --- There's a lot of possibilities, and I'm simply asking for a direct answer.

And one more thing, the problem is asking the house number of the man, not his children's ages!!!!!!!!!!!!!!!!!!!!!!!

• Math -

You're losing focus. Pay attention to the numbers, not the food!

3 x 4 x 6 = 72
3 + 4 + 6 = 13

What other combinations can you come up with?

??

• Math -

1--What combinations of three numbers multiply out to equal 72 and what are their sums?
2--Products: 72x1x1, 36x2x1, 24x3x1, 18x4x1, 18x2x2, 12x6x1, 12x3x2, 9x8x1, 9x4x2, 8x3x3, 6x6x2, 6x4x3.
3--Sums:....... 74,........ 39,....... 28,....... 23,........ 22,...... 19,....... 17,..... 18,......15,....... 14,..... 14,..... 13.
4--If the house number of the house matched any of the sums, the census taker would immediately know the three ages.
5--Since he came back and said he didn't have enough information, it meant that the house number he saw must have appeared more than once in the list of sums and he therefore could not know which of the sums was right.
6--The housewifes response answered his question. Can you see why now?

There was still some question after seeing the sums of the ages. The problem derives from there being more than one set of numbers with the same sum, 2-6-6 and 3-3-8. In as much as the set 2-6-6 does not have "an oldest child" and 3-3-8 does, the ages must have been 3, 3, and 8.

## Similar Questions

1. ### Math

In a little town in West Michigan lives a math professor, who hears one day that the barber has three children. So, on the next visit to the barber, the professor casually inquires, "I have heard you have three children, is that right?
2. ### Math Riddle

In a little town in West Michigan lives a math professor, who hears one day that the barber has three children. So, on the next visit to the barber, the professor casually inquires, "I have heard you have three children, is that right?
3. ### math

Ok here is the problem: A hostess said to Mrs. Raines " I have three sons, the product of there ages is 72, the sum of there ages is my house number." ( it desnt give the house number.) Then it says that mrs. Raines needed more info. …

If a man says he has three children who's ages are the product 36,the sum is the house number across the street and his oldest son loves chocolate cake,how old are the kids?
5. ### Grade 8 Math PLZ PPL help its hard

A census-taker rings Mr. Manning's bell and asks how many children he has. "Three daughters," he replies. "And how old are they, in whole numbers?
6. ### Math

A census-taker rings Mr. Manning's bell and asks how many children he has. "Three daughters," he replies. "And how old are they, in whole numbers?
7. ### Math

The census taker says, "I need to know the ages of your children." The mother replies, "I have no one-year-olds. The product of my children's ages is 90, and the sum of their ages is the same as my house number." The census taker replies. …
8. ### math trivia

larry has 3 children. the product of their ages is 36 and the sum of their ages wont help you. the youngest is blonde. how old are the children?
9. ### math

The united ages of a man and his wife are six times to united ages of their children. Two years ago their united ages were ten times the united ages of their children and six years hence their ages will be three times the united ages …
10. ### math

Bill ran into his neighbor from across the hall and asked her how old her children were. She replied, “Let’s see if you can figure it out. The product of their ages is 72 and the sum of their ages is the same as my apartment number.” …

More Similar Questions