Question

If the average of 4 consecutive even numbers
is 25; the difference between the largest and the
smallest number is
a) 8 b) 10 c) d) 6
please explain it
​

Answer 1

Answer:

d )6

Step-by-step explanation:

assume the four consecutive even number be

x , x+2 , x+4 , x+6

so,

according to question

(x + x+2 + x+4 + x+6) / 4 = 25

x + x+2 + x+4 + x+6 = 100

4x + 12 = 100. ( adding like terms )

4x= 100 - 12

x = 88/4

x = 22

now putting the value of x in assumed number

we get

smallest number as x = 22.

largest number as x+6 = 28

difference is 6

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