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

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Question

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

Sum

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