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Basile [38]
3 years ago
14

The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?​

Mathematics
2 answers:
dimulka [17.4K]3 years ago
7 0
<h3>Given :-</h3>

  • Sum of three consecutive even numbers = 114

<h3>To Find :-</h3>

  • The smallest number .

<h3>Solution :-</h3>

Let the three consecutive even numbers be x, x + 2 and x + 4 .

\longrightarrow  \rm x + x + 2 + x + 4 = 114

\longrightarrow \rm 3x + 6 = 114

\longrightarrow \rm 3x = 108

\longrightarrow \bf x = 36

Smallest number = 36

saul85 [17]3 years ago
4 0

Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

(2n)+(2n+2)+(2n+4)=114

Solve for n. Combine like terms on the left:

6n+6=114

Subtract 6 from both sides:

6n=108

Finally, divide both sides by 6. Therefore, the value of n is:

n=108/6=18

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

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