Let the gold medals received by France = gf
Let the silver medals received by France = sf
Let the gold medals received by Spain = gs
Let the silver medals received by Spain = ss
Question; France received how many more medals than Spain?
i.e. Find (Total France medals) - (Total Spain medals)
Total France medals = gf + sf
Total Spain medals = gs + ss
Statement 1: If France were to give Spain half of its gold medals, and Spain was to give France half of its silver medals, then France would have a total of 26 more medals than Spain.
i.e. (Total France medals) = (Total Spain medals) + 26
gf= 0.5gf (This is because 0.5gf was given to Spain)
sf= sf + 0.5ss
gs= gs + 0.5gf
ss= 0.5ss (This is because 0.5ss was given to France)
Therefore, (0.5gf + sf + 0.5ss) = (gs + 0.5gf + 0.5ss) + 26
sf - gs = 26
We cannot get the value of total Spain medal from this expression, hence, statement 1 is NOT SUFFICIENT.

Statement 2: If Spain were to give France half its gold medals and France were to give Spain half of its silver medals, then Spain would have a total of 22 more medals than France.
I.e (Total France medals) = (Total Spain medals) - 22
gf= gf + 0.5gs
sf= 0.5sf (0.5sf given to Spain)
gs= 0.5gs (0.5gs guven to France)
ss= ss + 0.5sf
Therefore, (gf + 0.5gs + 0.5sf) = (0.5gs + ss + 0.5sf) - 22
gf - ss = -22
Also, we cannot get the value of total France medals from this expression.
Hence, statement 2 is NOT SUFFICIENT.

Combining both statements together;
From the question stem, we are looking for;
Total France medals - Total Spain medals
So, (gf + sf) - (gs + ss)
gf + sf - gs - ss
(gf - ss) + (sf - gs)
From statement 1; sf - gs = 26
From statement 2; gf - ss = -22
If we substitute these values; (-22) + (26) = 4

Therefore, France received 4 more medals than Spain, hence, both statements combined together are SUFFICIENT.

Answer = OPTION C

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