The sum of three consecutive even numbers is 126. Find the numbers.

Sichilin5p

Sichilin5p

Answered question

2023-02-07

The sum of three consecutive even numbers is 126. Find the numbers.
A) 30, 32, 34
B) 32,34,36
C) 40,42,44
D) 42, 44, 46

Answer & Explanation

Remington Lynch

Remington Lynch

Beginner2023-02-08Added 4 answers

Step 1
Let the numbers be 2n + 2, 2n + 4 and 2n + 6.
Then the sum is 2n + 2 + 2n + 4 + 2n + 6 = 6n + 12
6n + 12 = 126 (given)
6n = 126 – 12
6n = 114
n = 114 ÷ 6
n = 19
Step 2
Hence, the numbers are 40, 42, 44.

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