Three consecutive even numbers whose sum is 156 are 51, 52 and 53. State whether the statement is true or false.

Solution:

Given, three consecutive even numbers whose sum is 156 are 51, 52 and 53.

We have to determine if the given statement is true or false.

The numbers 51 and 53 are not even numbers.

51, 52, 53 are consecutive natural numbers.

Let the consecutive even numbers be x, x+2, x+4

x + x + 2 + x + 4 = 156

3x + 6 = 156

3x = 156 - 6

3x = 150

x = 150/3

x = 50

Now, x+2 = 50 +2 = 52

x + 4 = 50 + 4 = 54

The consecutive even numbers whose sum is 156 is 50, 52 and 54.

Therefore, the numbers are 50, 52 and 54.

✦ Try This: Three consecutive odd numbers whose sum is 159 are 51, 53 and 55. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Sample Problem 5

Three consecutive even numbers whose sum is 156 are 51, 52 and 53. State whether the statement is true or false

Summary:

The given statement, ”Three consecutive even numbers whose sum is 156 are 51, 52 and 53” is false.

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