Question

find three consecutive numbers whose sum is 81​

Answer 1

Step-by-step explanation:

let three consecutive no. be x, x+1 , x+2

then,

x+x+1+x+2 = 81

3x + 3 = 81

3x = 78

x = 26

hence, three consecutive no. will be 26, 27 and 28

Answer 2

Given :

• Sum of three consecutive numbers is 81.

To Find :

• Three consecutive numbers

Solution :

• Let three consecutive numbers be x,x+1,x+2..

A.T.Q :

$\longmapsto\tt{x+x+1+x+2=81}$

$\longmapsto\tt{3x+3=81}$

$\longmapsto\tt{3x=81-3}$

$\longmapsto\tt{3x=78}$

$\longmapsto\tt{x=\cancel\dfrac{78}{3}}$

$\longmapsto\tt\bold{x=26}$

Value of x is 26...

Now :

$\longmapsto\tt{First\:No.=26}$

$\longmapsto\tt{Second\:No.=26+1}$

$\longmapsto\tt\bold{27}$

$\longmapsto\tt{Third\:No.=26+2}$

$\longmapsto\tt\bold{28}$

Therefore , Three consecutive numbers are 26,27,28..

_______________________

VERIFICATION :

$\longmapsto\tt{x+x+1+x+2=81}$

$\longmapsto\tt{26+26+1+26+2=81}$

$\longmapsto\tt\bold{81=81}$

HENCE VERIFIED