English

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

Advertisements
Advertisements

Question

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

Sum
Advertisements

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.

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Linear Equation In One Variable - Exercise [Page 118]

APPEARS IN

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

Englishहिंदीमराठी


      Forgot password?
Use app×