# If the Mean of X + 2, 2x + 3, 3x + 4, 4x + 5 is X + 2, Find X. - Mathematics

If the mean of x + 2, 2x + 3, 3x + 4, 4x + 5 is x + 2, find x.

#### Solution

The given data is x+2, 2x+3, 3x+4, 4x+5. They are four in numbers.

The mean is

((x+2)+(2x+3)+(3x+4)+(4x+5))/4

=(x+2+2x+3+3x+4+4x+5)/4

=(10x+14)/4

=(2(5x+7))/4

=(54x+7)/2

But, it is given that the mean is x+2. Hence, we have

(5x+7)/2=x+2

⇒ 5x +7 =2(x+2)

⇒5x +7 = 2x + 4

⇒ 5x -2x = 4-7

⇒ 3x = -3

⇒x =-3/3

⇒ x =-1

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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 24 Measures of Central Tendency
Q 2 | Page 21