Question

The sum of 3 consecutive even numbers is 132
What is the third number in this sequence?

Answer 1

Answer:

Let the three consecutive positive integers be x, x+1, and x+2. Then,

x+x+1+x+2=132.

3x+3=132.

3x=129

x=43.

Third number in this sequence is x+2=43+2=45.

Answer 2

Given:-

• Sum of 3 consecutive even numbers is 132.

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To find:-

• The third number in this sequence.

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Solution:-

Let,

• First consecutive even number = x
• Second consecutive even number = x + 2
• Third consecutive even number = x + 4

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According to the question

$\tt\longmapsto{x + (x + 2) + (x + 4) = 132}$

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$\tt\longmapsto{3x + 6 = 132}$

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$\tt\longmapsto{3x = 132 - 6}$

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$\tt\longmapsto{3x = 126}$

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$\tt\longmapsto{x = \dfrac{126}{3}}$

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$\tt\longmapsto{\boxed{\orange{x = 42}}}$

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Putting the value of x

$\tt\longmapsto{x + 4}$

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$\tt\longmapsto{42 + 4}$

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$\tt\longmapsto{\boxed{\purple{46}}}$

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Hence,

• the third number is 46.