Find three consecutive numbers such that eight times the third plus twice the first is equal to six times the second. Find the numbers

Question

Find three consecutive numbers such that eight times the third plus twice the first is equal to six times the second. Find the numbers

Answer 1

n, n+1 , n+2

 

8( n+2 ) +2n = 6(n +1)

 

10n + 16 = 6n + 6

 

4n = -10

 

 n = -2.5

 

Test:

 

8 (-0.5) - 5 = 6(- 2.5)+6

 

-9 = -9

 

   the 3 numbers are  -2.5, -1.5, -0.5