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Question

What is the numerical value of M+F?

A
8
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B
10
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C
9
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D
can’t be determined
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Solution

The correct option is B 8

Option A.

Given that the combined average is M+F, hence

(M+F)=(2MF+42){(M+F)+1}

Or (M+F)2+(M+F)=2MF+42

Or M2+F2+M+F=42

Or M(M+1)+F(F+1)=42, since M and F are integers, there is only one possibility that M(M+1) =12 or 30 and F(F+1) =30 or 12. Hence M can be 3 or 5 and F can be 5 or 3. So the sum of M and F is 8. Thus option (a).


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