Question

Three consecutive integers add up to 219

Answer 1

let three integers be n, n+1 and n+2

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ATQ

n + n+ 1 + n + 2 = 219

3n + 3 = 219

3n = 216

n = 216/3

n = 72

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1st integer = 72

II integer = 72+1 = 73

Iii integer = 72+2 = 74

Answer 2

✯✯ QUESTION ✯✯

Find the three consecutive integers that add up to 219..

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✰✰ ANSWER ✰✰

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

$\longmapsto\tt{Let\:2nd\:No.\:be=x+1}$

$\longmapsto\tt{Let\:3rd\:No.\:be=x+2}$

$\longmapsto\tt{Sum\:of\:Numbers=219}$

➙A.T.Q : -

$\longmapsto\tt{x+x+1+x+2=219}$

$\longmapsto\tt{3x+3=219}$

$\longmapsto\tt{3x=219-3}$

$\longmapsto\tt{x=\cancel\dfrac{216}{3}}$

$\orange\longmapsto\:\large\underline{\boxed{\bf\red{x}\blue{=}\green{72}}}$

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➥Now ,

$\longmapsto\tt{1st\:Consecutive\:No=x}$

$\longmapsto\tt{72}$

$\longmapsto\tt{2nd\:Consecutive\:No.=x+1}$

$\longmapsto\tt{72+1}$

$\longmapsto\tt{73}$

$\longmapsto\tt{3rd\:Consecutive\:No.=x+2}$

$\longmapsto\tt{72+2}$

$\longmapsto\tt{74}$

➙Hence , Three Consective Numbers are 72,73 and 74 ...

➜VERIFICATION : -

$\longmapsto\tt{72+73+74=219}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{219}\orange{=}\purple{219}}}$

✺ HENCE VERIFIED ✺