Question

Write down three integers all less than 25, range is ten and mean is thirteen

Answer 1

9, 11 and 19

Explanation:

the first two integers I've picked are 19 and 9 because it gives a range of 10 and is less than 25

the range is the bigger number - smaller number

19 - 9 = 10

to find the third number we are given mean = 13

`mean \: = \: (sum \: of \: all \: numers)/(how \: many \: numbers \: there \: are)`

the third number = x

`13 = (19 + 9 + x)/(3)`

multiply both sides by 3 to get rid of the fraction

`13 * 3 = 19 + 9 + x`

`39 = 28 + x`

subtract both sides by 28

`39 - 28 = x`

`x = 11`

the third number is 11

the three integers are 9, 11 and 19

there are two other possible answers:

8, 13 and 18

7, 15 and 17