Question

78. The average of x, y and z is 45. x is as much more than
the average as y is less than the average. Find the value
of z.
(a) 45 (6) 25 (c) 35 (d) 15

Answer 1

Answer:

a) 45

Step-by-step explanation:

Average = 45

so, x+y+z/3 = 45

x+y+z = 45*3 = 135 (I)

x = 45+ a (let) (given)

a = x - 45

y = 45 - a (II) (given)

putting a = x - 45 in (II)

y = 45 - (x - 45)

y = 45 - x + 45

y + x = 90 (III)

put (III) in (I)

90 + z = 135

z = 135 - 90

therefore z = 45