Question
Download Solution PDFThe average of two numbers A and B is 20, that of B and C is 19 and of C and Ais 21. What is the value of A?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average of A and B = 20
Average of B and C = 19
Average of C and A = 21
Formula Used:
Average = Sum of terms / Number of terms
Calculation:
From the given data:
A + B = 20 × 2 = 40
B + C = 19 × 2 = 38
C + A = 21 × 2 = 42
Adding these equations:
(A + B) + (B + C) + (C + A) = 40 + 38 + 42
⇒ 2A + 2B + 2C = 120
⇒ A + B + C = 120 / 2
⇒ A + B + C = 60
Now, subtract (B + C) from (A + B + C):
⇒ A + B + C - (B + C) = 60 - 38
⇒ A = 22
The value of A is 22.
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