If the average of a and b is 45 and the average of b and c is 35, then (a – c)=?

A 5

B 10

C 20

D 30

E None

Solution

Correct Answer: Option C

প্রশ্নে বলা হচ্ছে, a ও b গড় 45 এবং b ও c এর গড় 35 হলে (a - c) = ? 

দেয়া আছে, (a + b)/2 =45
⇒  a + b = 90
∴ b = 90 - a

আবার, (b + c)/2 = 35
⇒ b + c = 70 
⇒ 90 - a + c = 70
⇒ - a + c = -20
⇒ a - c = 20
∴ a - c = 20

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