Question

Write down three integers,all less than 25,whose range is 10 and mean is 13.

Answer 1

Possible values od a, b and c are

7, 15, 17

8, 13, 18

9, 11, 19

Step-by-step explanation:

Given :

Three integers are less than 25, there range is 10 and there mean is 13.

Solution :

Let a, b, c are the three integers, then

a < b < c < 25

Given mean is 13, therefore

$13=\dfrac{a+b+c}{3}$

$a+b+c=39$  ---- (1)

Given range is 10, therefore

$c-a=10$

$c=10+a$  ---- (2)

From equation (1) and (2) we get

$b = 29-2a$  ---- (3)

Therefore, possible values of a, b and c are

7, 15, 17

8, 13, 18

9, 11, 19

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