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The Sum of Three Consecutive Even Numbers is 54. Find the Numbers.

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Question

The sum of three consecutive even numbers is 54. Find the numbers.

Sum
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Solution

Let the first even number = x

second even number = x + 2

and third even number = x + 4

According to the condition,

x + x + 2 + x + 4 = 54

⇒ 3x + 6 = 54

⇒ 3x = 54 – 6

⇒ x = `48/3 = 16`

∴ First even number = 16

Second even number = 16 + 2 = 18

and third even number = 16 + 4 = 20

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Chapter 12: Simple Linear Equations (Including Word Problems) - Exercise 12 (D)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 12 Simple Linear Equations (Including Word Problems)
Exercise 12 (D) | Q 10
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