Go back to using pen and paper with this riddle, I am sure you will enjoy it.
The average weight of Alan, Becky and Claire is 45 kg.
If the average weight of Alan and Becky is 40 kg and that of Becky and Claire is 43 kg, then what is the weight of Becky?
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Answer:
Let us consider the following;
Alan = a;
Becky = b &
Claire = c.
As per the given information we can write the following;
(a + b + c) / 3 = 45
a = 135 – (b + c) —- (1)
Average of a and b :-
(a + b) / 2 = 40
a + b = 40 x 2
a + b = 80—-(2)
Adding b on both sides of (1) we get;
a + b = 135 -(b + c) + b—-(3)
Equating (2) and (3) we get;
135 – b – c + b = 80
135 – 80 = c
c = 55
Average of b and c :-
(b + c) / 2 = 43
b + c = 43*2
b = 86 – c
b = 86 – 55
b = 31
So we answer;
i.e. Becky’s weight = 31 Kgs