239,515 views
28 votes
28 votes
The sum of four consecutive numbers is two more than three times the greatest of these numbers. Find the numbers.

User Vertex
by
2.7k points

1 Answer

10 votes
10 votes

Answer:

9, 10, 11, 12

Explanation:

Let the consecutive numbers be:

x, x+1, x+2, x+3

Greatest of the numbers will be: x + 3

x+x+1+x+2+x+3 = 3(x+3) + 2

4x + 6 = 3(x+4) + 2

4x + 6 = 3x + 12 + 2

4x + 6 = 3x + 14

Collect like terms

4x - 3x = 14 - 6

x = 8

x +1 = 8+ 1 = 9

x + 2 = 8 + 2 = 10

x + 3 = 8 + 3 = 11

x + 4 = 8 + 4 = 12

User Crsuarezf
by
3.2k points