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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
[tex]mean \: = \: \frac{sum \: of \: all \: numers}{how \: many \: numbers \: there \: are} [/tex]
the third number = x
[tex]13 = \frac{19 + 9 + x}{3} [/tex]
multiply both sides by 3 to get rid of the fraction
[tex] 13 \times 3 = 19 + 9 + x[/tex]
[tex]39 = 28 + x[/tex]
subtract both sides by 28
[tex]39 - 28 = x[/tex]
[tex]x = 11[/tex]
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