find three consecutive even numbers whose sum is 96
Answers
Answer:
32+32+32=96
Step-by-step explanation:
96 is even number which is three consecutive even numbers.
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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