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2. Find three consecutive numbers such that five times the
largest number is 17 less than three times the sum of the
smallest and median number

Respuesta :

madison2014nc

Answer:

Hi there!

Your answer is:

Smallest number: 24

Median number: 25

Largest number: 26

Step-by-step explanation:

three consecutive numbers:

n, n+1, n+2

5(n+2)= (n+1+n)3 -17

5n+10= (2n+1)3-17

5n+10= 6n+3 -17

5n+10= 6n-14

-6n

-n+10= -14

-10

-n= -24

/-1

n= 24

This is your number. Now, plug this back into your previous equations

24, 24+1, 24+2

Simplify

Smallest number: 24

Median number: 25

Largest number: 26

Hope this helps

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