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The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

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Question

The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

Sum
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Solution

Let us assume three consecutive even numbers of series to be x, x + 2 and x + 4

So, The sum of consecutive even numbers = x + x + 2 + x + 4

48 = 3x + 6

– 3x = 6 – 48

– 3x = – 42

x = 14

Therefore, Three consecutive even numbers = x, x + 2 and x + 4.

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18,

Which is the biggest number in the series.

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Chapter 4: Linear Equation In One Variable - Exercise [Page 118]

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NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 4 Linear Equation In One Variable
Exercise | Q 84. | Page 118

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