Question

Three consecutive integers add up to 51. What are these integers? 15,16,17 18,19,20 16,17,18 17,1819​

Answer 1

Answer:

16,17,18

Step-by-step explanation:

Let the three consecutive numbers be x,x+1,x+2

Sum of the numbers is 51.

∴x+x+1+x+2=51

3x+3=51

3x=48

x=16

The numbers would be x=16,

x+1=16+1=17,

x+2=16+2=18

So, the numbers are 16,17,18.

Answer 2

Answer:

16, 17 and 18.

Step-by-step explanation:

Let x, x+1 and x+3 are the three consecutive numbers.

According to the questions,

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

$\implies \: x + x + 1 + x + 2 = 51$

$\implies3x + 3 = 51$

$\implies \: 3x = 51 - 3$

$\implies3x = 48$

$\implies \: x = \frac{48}{3}$

$\implies \: x = 16$

∴ x = 16

Finding the consecutive numbers :

• x = 16
• x + 1 = 17
• x + 2 = 18

Hence, the three consecutive numbers are 16 ,17 and 18.