Question

Average of a, b and c is 11; average of c, d and e is 17; average of e and f is 22 and average of e and c is 17. What is the average of a, b, c, d, e and f?

Accepted Answer

A. Given: 1) $a + b + c = 33$ 2) $c + d + e = 51$ 3) $e + f = 44$ 4) $e + c = 34$ Sum of all six variables $(a + b + c + d + e + f) = (a + b + c) + (c + d + e) + (e + f) - (e + c)$ $$= 33 + 51 + 44 - 34 = 94$$ Average $= \frac{94}{6} = \frac{47}{3} = 15\frac{2}{3}$.

Average of Combined Sets

Explanation

Practise this under exam conditions