39.4k views
0 votes
6. Three consecutive integers add up to 51. What are these integers?

2 Answers

4 votes

Answer: 16,17,18

Explanation:

(x)+(x+1)+(x+2) = 51

x+x+x+1+2=51

3x+3=51

3x=51-3

3x=48

x=16

x+1 = 17

x+2= 18

User Yulonda
by
4.8k points
3 votes

Answer:

  • x = 16
  • x + 1 = 17
  • x + 2 = 18

Step by step Explanation:

Let, the three consecutive integers be x, x+1 and x+2.


\star \: \underline{\frak{ \purple{According \: to \: the \: question \orange{,}}}}


\longrightarrow \: \: \pmb{ \sf{x + (x+1) + (x+2) = 51}}


\mapsto \: \: \: \sf{3x + 3 = 51}


\mapsto \: \: \: \sf{3x = 51 – 3}


\mapsto \: \: \: \sf{3x = 48}


\mapsto \: \: \: \sf{x =  (48)/(3) }


\mapsto \: \: \: \sf{x = 16}

° the integers are :

  • x = 16
  • x + 1 = 17
  • x + 2 = 18

_____________________________

User Mikemols
by
4.0k points