Question

if the sum of three consecutive integers is 303cm then the smallest integer is

Answer 1

Answer:

let , three consecutive no. ==> x , (x+1) , x+2

so, sum of three consecutive numbers = 303

so, x + x+ 1 + x +2 = 303

==> 3x + 3 = 303

==> 3(x+1) = 303

==> x+1 = 303/3

==> x + 1 = 101

==> x = 100

smaller integer = 100

Answer 2

★ Question :- If the sum of three consecutive integers is 303, then find the smallest integer.


★ Solution :-

Let the three consecutive integers be x, x + 1 and x + 2

Given, their sum is 303


According to the question,

x + x + 1 + x + 2 = 303

➾ 3x + 3 = 303

➾ 3x = 303 - 3

➾ 3x = 300

➾ x = 100


∴ The smallest number ➾ x

➾ $\green{\boxed{\green{\boxed{\red{\textsf{100}}}}}}$


∴ The second number ➾ x + 1

➾ 100 + 1

➾ $\green{\boxed{\green{\boxed{\red{\textsf{101}}}}}}$


∴ The largest number ➾ x + 2

➾ 100 + 2

➾ $\green{\boxed{\green{\boxed{\red{\textsf{102}}}}}}$