Question

There are three people in John's family. The range of their shoe sizes is 4. Two people in the family wear shoe size 6. John's shoe size is not 6 and it is not 10. What is John's shoe size?

Answer 1

Joe has a shoe size of 2.

Have a good day!

Answer 2

x - John's shoe size

Two people in the family wear shoe size 6, but John's shoe size is not 6.
The shoe sizes in the family:
6, 6, x

The range is the difference between the highest and the lowest value. The range is 4.
There are two possibilities:

1. John's shoe size is the biggest:

`x-6=4 \\ x=4+6 \\ x=10`
However, his shoe size is not 10, so it's impossible.

2. John's shoe size is the smallest.

`6-x=4 \\ -x=4-6 \\ -x=-2 \\ x=2`

John's shoe size is 2.