Question

If x–Z=3 and x+Z=45, then M = ......,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 24
(b) 22
(c) 26
(d) 23

Answer 1

(a)24 is the correct answer as 24-21=3 and 24+21=45

Answer 2

Option ( b ) is correct.

Explanation :

It is given that ,

x - z = 3 ----( 1 )

x + z = 45 ---( 2 )

Add equations ( 1 ) & (2 ) , we

get

2x = 48

=> x = 48/2 = 24

Substitute x = 24 in equation

( 2 ) , we get

x + z = 45

=> 24 + z = 45

=> z = 45 - 24 = 21

Therefore ,

x = 24 , z = 21

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By Empharical Formula :

If mode = z , median = M ,

Mean = x then

z = 3M - 2x

Or

M = ( z + 2x )/3

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M = ( 21 + 2 × 24 )/3

=> M = ( 42 + 24 )/3

=> M = 66/3

=> M = 22

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