Question

three consecutive integers add up 251 what are these integers ​

Answer 1

There is a minor mistake in your question. The sum should be 252 and not 251.

$\boxed{\boxed{\tt{Solution :- }}}$

Let the common multiple be x

So, let the 1st integer be x, 2nd be x + 1 and 3rd be x + 2

Their sum is 251


According to the given condition

x + x + 1 + x + 2 = 252

∴ 3x + 3 = 252

∴ 3x = 252 - 3

∴ 3x = 248

∴ x = $\dfrac{249}{3}$

∴ x = 83


∴ 1st integer ➾ x

➾ $\pink{\underline{\pink{\underline{\tt{\red{83}}}}}}$


∴ 2nd integer ➾ x + 1

➾ 83 + 1

➾ $\pink{\underline{\pink{\underline{\tt{\red{84}}}}}}$


∴ 3rd integer ➾ x + 2

➾ 83 + 2

➾ $\pink{\underline{\pink{\underline{\tt{\red{85}}}}}}$


$\large{\boxed{\boxed{\tt{Thanks}}}}$