Question

State a number which has 9 multiples which are less than 40,state the multiples too.

Answer 1

The first nine multiples of a number
`x` are:

`x, 2x, 3x, 4x, 5x, 6x,7x,8x,9x`

If we want all of these numbers to be less than 40, we must ask

`9x < 40 \iff x < \cfrac{40}{9} = 4.\overline{4}`

This means that every number less than 4 will do the trick:

If you choose 2, you have the following multiples:

`2,4,6,8,10,12,14,16,18`

If you choose 3, you have the following multiples:

`3,6,9,12,15,18,21,24,27`

If you choose 4, you have the following multiples:

`4,8,12,16,20,24,28,32,36`