Question

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

Answer 1

Answer:

9, 11 and 19

Step-by-step 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

$mean \: = \: \frac{sum \: of \: all \: numers}{how \: many \: numbers \: there \: are}$

the third number = x

$13 = \frac{19 + 9 + x}{3}$

multiply both sides by 3 to get rid of the fraction

$13 \times 3 = 19 + 9 + x$

$39 = 28 + x$

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