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BECE Mathematics 2019 Paper

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Question : 12

Total: 40

The mean of the numbers

5, 2x, 4

and 3 is 5 . Find the value of

x

3
4
5
8

Solution:

Concept:

The mean of a set of numbers is the sum of the numbers divided by how many numbers there are.

Explanation:

Given numbers are

5

,

2x

,

4

, and

3

.

There are

4

numbers in total.

Mean is given as

5

, so we write:

\frac{5 + 2x + 4 + 3}{4} = 5

Add the known numbers:

5 + 4 + 3 = 12

.

So,

\frac{12 + 2x}{4} = 5

.

Multiply both sides by

4

:

12 + 2x = 20

Subtract

12

from both sides:

2x = 8

Divide both sides by

2

:

x = 4

Answer:

x = 4

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