BrainDen.com - Brain Teasers
• 0

## Question

We've got our yearly festival tommorow so my two ancient aunts are making these totally cool sweets. I was there to help them and just check our what I found.

My 1st aunt is really great at cooking while the 2nd is still trying to catch it. Well the amont of sweets they made just proves it. Both my aunts cooked sweets as much as the square of their children. And the total amount of sweets that both of them made is as the cube of the no. of children my 2nd aunt has. Given that the whole family, about 30 people would be comming to the get together tommorow. How many kids do each of my aunts have?

## Recommended Posts

• 0

We've got our yearly festival tommorow so my two ancient aunts are making these totally cool sweets. I was there to help them and just check our what I found.

My 1st aunt is really great at cooking while the 2nd is still trying to catch it. Well the amont of sweets they made just proves it. Both my aunts cooked sweets as much as the square of their children. And the total amount of sweets that both of them made is as the cube of the no. of children my 2nd aunt has. Given that the whole family, about 30 people would be comming to the get together tommorow. How many kids do each of my aunts have?

each aunt has 4.

Or one has 18 other has 9 children.

Edited by Eragon

##### Share on other sites
• 0

Aunt A : 10 Kids

Aunt B : 5 Kids

Totally sweets made :125 (Aunt A:100 and Aunt B:25)

##### Share on other sites
• 0

Both my aunts cooked sweets as much as the square of their children.

Does this mean:

1. The total sweet is equal to the square of the total children (if this is the case, my previous answer)

2. Aunt 1 made as much as the square of aunt1 children only, aunt 2 made as much as the square of aunt2 children only. ( if this is the case, this is the answer)

Aunt 1 has 10, aunt two has 5

##### Share on other sites
• 0

We've got our yearly festival tommorow so my two ancient aunts are making these totally cool sweets. I was there to help them and just check our what I found.

My 1st aunt is really great at cooking while the 2nd is still trying to catch it. Well the amont of sweets they made just proves it. Both my aunts cooked sweets as much as the square of their children. And the total amount of sweets that both of them made is as the cube of the no. of children my 2nd aunt has. Given that the whole family, about 30 people would be comming to the get together tommorow. How many kids do each of my aunts have?

They made 8 sweets total, and each aunt has 2 kids

2*2*2 = 8

and

2^2 + 2^2 = 8

##### Share on other sites
• 0

Nevermind my answer, the catching up statement, though ambiguous, ensures the aunts have different number of children.

Edited by hashish

• 0

Aunt 1= 10 kids

Aunt 2= 5 kids

##### Share on other sites
• 0

2 children each

Aunt A has CA children

Aunt B has CB children

Let x, y be the number of sweets Aunt A and B make

x = CA^2

Y = CB^2

x+y = CB^3

Given that the family is a size of 30, we have to list down the cubes less than 30 that satisfies the above equations.

The cubes are

1 - 1^3

8 - 2^3

27 - 3^3

Among these only 2^3 can help us satisfy all the above equations.

So CA = 2, CB = 2. x=4, y=4.

##### Share on other sites
• 0

If they have two children each-

2^2=4

2^2=4

4+4=8

which works out

##### Share on other sites
• 0

Guys, Remember two aunts has different cooking levels, so the sweet that they make is different.

Therefore, Mysterious01 is right.

I think.

##### Share on other sites
• 0

Yeah........... 1st aunt 5 kids n' 2nd aunt 10 kids...........

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

×   Pasted as rich text.   Paste as plain text instead

Only 75 emoji are allowed.

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

×