Question

The sum of three consecutive numbers is 345. what are the three numbers

Answer 1

Hello,

Let the number be x
So, consecutive numbers are x+1 and x+2

So,
The three numbers are
X, x+1, x+2

Now,sum is given 345
So,

x+x+1+x+2 = 345
Or,
3x +3 = 345
Or,
3(x+1) = 345
Or,
x+1 = 345/3 = 115
Or,
x = 115 - 1 = 114

So,
The three consecutive numbers are
114, 115, 116

Hope this will be helping you ✌️

Answer 2

✯✯ QUESTION ✯✯

The sum of three consecutive numbers is 345. what are the three numbers ..

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✰✰ ANSWER ✰✰

$\longmapsto\tt{Let\:First\:No.\:be=x}$

$\longmapsto\tt{Let\:Second\:No.\:be=x+1}$

$\longmapsto\tt{Let\:Third\:No.\:be=x+2}$

Sum of Numbers = 345

➥A.T.Q : -

$\longmapsto\tt{x+x+1+x+2=345}$

$\longmapsto\tt{3x+3=345}$

$\longmapsto\tt{3x=345-3}$

$\longmapsto\tt{3x=342}$

$\longmapsto\tt{x=\dfrac{\cancel{342}}{\cancel{3}}}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{x}\orange{=}\purple{114}}}$

➥Now ,

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

$\longmapsto\tt{114}$

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

$\longmapsto\tt{114+1}$

$\longmapsto\tt{115}$

$\longmapsto\tt{Third\:No.=114+2}$

$\longmapsto\tt{116}$

☛Three Consecutive No. are 114 , 115 , 116 ..

_______________________

➮VERIFICATION : -

$\longmapsto\tt{114+114+1+114+2=345}$

$\longmapsto\tt{114+115+116=345}$

$\longmapsto\tt{345=345}$

$\purple\longmapsto\:\large\underline{\boxed{\bf\blue{L.H.S}\pink{=}\green{R.H.S}}}$