Question

Find three consecutive even numbers whose sum is 96.

Answer 1

Answer:

30,32,34 are the three consecutive even numbers in which their sum is 96

Step-by-step explanation:

30+32+34=96 hope you understood mark me as brainlist

Answer 2

Step-by-step explanation:

Let 2n = the first of three consecutive even numbers.

Let 2n + 2 = the second consecutive even number, and ...

Let 2n + 4 = the third consecutive even number.

Since we're given that: "the sum of three consecutive even numbers is 96," then we can now translate this statement mathematically into the following equation to be solved for the unknown number n:

2n + (2n + 2) + (2n + 4) = 96

2n + 2n + 2 + 2n + 4 = 96

Collecting like-terms on the left, we get:

6n + 6 = 96

6n + 6 - 6 = 96 - 6

6n + 0 = 90

6n = 90

(6n)/6 = 90/6

(6/6)n = 90/6

(1)n = 15

n = 15

Therefore, ,...

2n = 2(15) = 30 and

2n + 2 = 30 + 2 = 32 and

2n + 4 = 30 + 4 = 34

CHECK:

2n + (2n + 2) + (2n + 4) = 96

30 + (32) + (34) = 96

30 + 32 + 34 = 96

96 = 96

Therefore, the three consecutive even numbers whose sum is 96 are indeed 30, 32, and 34