tom family had three daughters and their ages added up to 11..the product is 24 how old are the children

The information is not enough to solve the question. how can you have 3 unknowns, 2 equations, and solve all 3 unknowns.

However, the solution pops to mind without solving any equations:

1+4+6 = 11
1*4*6 = 24

To find the ages of the three daughters, let's break down the problem.

We are given a few pieces of information:
1. There are three daughters.
2. The sum of their ages is 11.
3. The product of their ages is 24.

To solve this, we can use trial and error or a systematic approach.

Let's list the possible combinations of three numbers whose sum is 11:
1, 5, 5 (sum = 11)
2, 4, 5 (sum = 11)
3, 3, 5 (sum = 11)
3, 4, 4 (sum = 11)
2, 3, 6 (sum = 11)
1, 2, 8 (sum = 11)

Now, let's check the product of each combination:
1 x 5 x 5 = 25 (not equal to 24)
2 x 4 x 5 = 40 (not equal to 24)
3 x 3 x 5 = 45 (not equal to 24)
3 x 4 x 4 = 48 (not equal to 24)
2 x 3 x 6 = 36 (not equal to 24)
1 x 2 x 8 = 16 (not equal to 24)

As none of these combinations match the product of 24, it seems like there might be an error in the given information. Please double-check the problem or provide more information if possible.