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

Question

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

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Mathematics
1 week
2021-07-22T15:06:12+00:00
2021-07-22T15:06:12+00:00 1 Answers
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## Answers ( )

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

Thisisyournumber.Now,plugthisbackintoyourpreviousequations24, 24+1, 24+2

Simplify

Smallest number: 24

Median number: 25

Largest number: 26

Hopethishelps