### Not a Polite Question

When asked how old she was, the teacher replied: My age in years is not prime but odd and when reversed and added to my age you have a perfect square...

### Whole Numbers Only

Can you work out how many of each kind of pencil this student bought?

### All Square

Solve the system of equations xy = 1 yz = 4 zx = 9

# Children at Large

##### Age 11 to 14Challenge Level

There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben.

Tom is $2$ years older than Ben.

The combined ages of the two boys is equal to the combined ages of the two girls.

Kate is twice as old as Sally.

A year ago Tom was twice as old as Sally was then.

How old are the children?