Choose the equation that could be used to find three consecutive integers whose sum is 36.
O a
n+ (n + 2) + (n + 4) = 36
b
n + (n + 1) + (n + 3) = 36
Ос
n + (n + 1) + (n + 2) = 36
od
n + (n - 1) + (n - 3) = 36
Answers
b) n+(n+1)+(n+3)=36 the answer ♥
Given : equation that could be used to find three consecutive integers whose sum is 36.
To Find : Choose correct option
n+ (n + 2) + (n + 4) = 36
n + (n + 1) + (n + 3) = 36
n + (n + 1) + (n + 2) = 36
n + (n - 1) + (n - 3) = 36
Solution:
three consecutive integers
n , n + 1 , n + 2
=> n + (n + 1) + (n + 2) = 36 is the correct option
=> 3n = 33
=> n = 11
=> 11 , 12 & 13 are three consecutive integers whose sum is 36
n+ (n + 2) + (n + 4) = 36 => three consecutive even integers which add upto 36
10 , 12 & 14
n + (n + 1) + (n + 3) = 36 & n + (n - 1) + (n - 3) = 36 will not lead to integers
n + (n + 1) + (n + 2) = 36 is the correct option
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