# What Are The Three Numbers of Equal To

Three numbers are such that the average of first tow numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4, Then the average of three numbers is equal to

- 2
- 3.5
- 3
- 2.5

**Answer: (3) 3**

**Explanation:-**

Let be the three numbers are X, Y & Z.

The average of first two numbers = 2

The sum of first two numbers (X + Y ) = 2 x 2 = 4

Then, X + Y = 4 ………………………… (1)

The average of last two numbers = 3

The sum of last two number = 2 x 3 = 6

Then, Y + Z = 6 ………………………………… (2)

The average of first and last numbers = 4

The sum of first and last numbers = 2 x 4 = 8

Then, X + Z = 8 ……………………………………. (3)

Add on equation (1), (2) & (3)

X + Y + Y + Z + X + Z = 4 + 6 + 8

2X + 2Y + 2Z = 18

2 (X + Y + Z) = 18

X + Y + Z = 18/2 = 9

The average of X , Y & Z = (X + Y + Z) = 9 /3 = 3

Hence, the answer is (3) 3.