Question

Three Consecutive integers add up to 51. What are integers are these integers? ​

Answer 1

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.

hope it helps you.

Answer 2

$\huge\mathfrak\blue{Answer:}$

Given:

• We have given three consecutive integers whose sum is 51

To Find:

• We have to find the numbers

Solution:

Let the three consecutive numbers be :

$\implies$ x and ( x + 1 ) and ( x + 2 )

________________________________

$\underline{\large\mathfrak\orange{According \: to \: the \: Question:}}$

$\hookrightarrow \boxed{\sf{Sum \: of \: Numbers = 51 }}$

$\hookrightarrow \sf{ \: x + x + 1 + x + 2 = 51 }$

$\hookrightarrow \sf{ \: 3x + 3 = 51 }$

$\hookrightarrow \sf{\: 3x = 51 - 3}$

$\hookrightarrow \sf{\: 3x = 48 }$

$\hookrightarrow \sf{\: x = \dfrac{48}{3}}$

$\hookrightarrow \boxed{\sf{x = 16}}$

_______________________________

Therefore number are as follows:

First Number ( x ) = 16

Second Number ( x + 1 ) = 17

Third Number ( x + 2 ) = 18

:$\implies \boxed{\mathfrak\red{First \: Number = 16 }}$

:$\implies \boxed{\mathfrak\red{Second \: Number = 17 }}$

:$\implies \boxed{\mathfrak\red{Third \: Number = 18 }}$

________________________________

$\huge\mathfrak\green{Verification:}$

$\boxed{\sf{Sum = 16 + 17 + 18 = 51}}$

Hence Verified !!