# math

posted by .

there Are four children in a family, the sum of the squares of the ages of the three youngest children equals the square of the age of the oldest child. How old are all the children.

• math -

It's a double application of the Pythagoras theorem:

3²+4²=5²
and
5²+12²=13²

Can you take it from here?

• math -

no

## Similar Questions

There are five children in the family. Each child is three years older than the next oldest. The susm of their ages is 65. Whar are the ages fo these children.
2. ### math

Which of the following is a subset of set A?
3. ### 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?
4. ### Math probabilty

An amusement park, Dino World, considering adding some new attractions, conducted a study over several typical days and found that, of 10,000 families entering the park, 1020 brought just one child (defined as younger than age 12), …
5. ### elementary statistics

56% of families had no children under the age of 18;17% had no child;18% had two children;6% had three children; and 3% had four or more children. If a family is selected at random, find the probabilty that the family has less than …
6. ### Math

In the Ambrose family, the ages of the three children are three consecutive even integers. If the age of the youngest child is represented by x+3, which expression represents the age of the oldest child?
7. ### math

a total of \$24.00 is to be divided among three children in amounts proportional to their ages. if the children's age are 9, 12, and 15 years, how much money will the YOUNGEST receive?
8. ### Algebra

The Smith family has 13 children, all born exactly 2 years apart. How old will the second-youngest child be when the oldest child is five times the age of the youngest child?
9. ### Math

The three Smith children have a combined age of 50. The youngest is half as old as the oldest. Ten years ago, the oldest was 7 times as the youngest. How old were the children ten years ago?
10. ### Algebra

The oldest child in a family of four children is twice as old as the youngest. The two middle children are 12 and 15 years old. If the average age of the children is 13.5, how old is the youngest child?

More Similar Questions