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Default How do I find max then sum cells above & to the left?

If

A1 = 1 B1 = 2 C1 = 3
A2 = 4 B2 = 5 C2 = 6
A3 = 9 B3 = 8 C3 = 7

How do I find the maximum value in row 3 and then sum the numbers in rows 1
and 2 above and to the right of the maximum value in row 3? I have tried the
formula =SUM(OFFSET(MAX(A3:C3),-2,0,2,3)) but Excel doesn't appear to accept
the maximum function within the offset function.

Thanks in advance.
Ian
 
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