Question

find three consecutive even numbers whose sum is 96​

Answer 1

Answer:

32+32+32=96

Step-by-step explanation:

96 is even number which is three consecutive even numbers.

Answer 2

Answer:

30, 32 and 34 are the three consecutive even numbers.

Explanation:

It is given that the sum of three consecutive even number is 96.

We need to find the numbers.

Consecutive even number refers to multiples of 2 in a sequence with no gaps. As consecutive even numbers are multiple of 2, we will add 2 to the number to get its next number.

Let the first even number = x

Let the second even number = x + 2

Let the third even number = x + 4

According to the question, their sum is 96. So, the equation becomes:

⇛ x + x + 2 + x + 4 = 96

⇛ x + x + x + 2 + 4 = 96

⇛ 3x + 6 = 96

⇛ 3x = 96 - 6

⇛ 3x = 90

⇛ x = 90/3

⇛ x = 30

The first number = x = 30

The second number:

⇛ x + 2

⇛ 30 + 2

⇛ 32

The third number:

⇛ x + 4

⇛ 30 + 4

⇛ 34

Double check:

The sum of the three numbers must be 96

30 + 32 + 34 = 96

96 = 96

LHS = RHS

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