We took turns standing on the bathroom scales while holding the bike or baggage and subtracting our respective body-weights to perform the dread calculations. Yet I couldn't help wondering whether it was all necessary.
I always travel light - life's easier that way - but I have seen passengers heft bags the size of a maharajah's steamer trunk on to the scales at check-in and walk away without having to produce a credit card.
Surely, I reasoned, her 26kg could be compensated for by the 20kg a traveller of my habits would turn up with somewhere along the line.
As we waited in the check-in line, swapping assessments as to which attendant looked the most kindly, I thought of last week's story about researchers at a New York university who had come up with a mathematical model to speed up boarding of aircraft. The essence of it was that seat numbers would not be assigned, but passengers would be allowed to board according to the number of carry-on bags they had. The policy would reward extravagance because baggage-heavy travellers would get priority.
The research applied to the US domestic and short-haul market where charges for checked luggage (average US$25) have been the norm for six years. Bloomberg BusinessWeek reports that Delta Airlines last year collected US$833 million - five per cent of its revenue - from checked-baggage fees.
But heaven help us if the idea catches on here. Long-haul travellers departing from New Zealand with a free baggage allowance routinely drag mountains of cabin baggage with them. Airline rules specify a 7kg limit and combined dimensions (length plus width plus height) of 118cm, and the ones I contacted all told me these regulations were "strictly enforced".
But my experience of sitting in gate lounges with my 4kg shoulder bag persuades me that this is corporate intent, not operating practice. Plenty of passengers have carry-on bigger than my checked bag and it would be easier for a camel to pass through the eye of a needle than to fit one of them into those steel "check your cabin bag" frames that you see in the departure halls.
The overloaded types are the ones who leap up to board when the gate staff call rows 67-80 even though they're in row 43. (Have you ever seen anyone told to sit down and wait their turn? Thought not.) They want to get on early so they can fill an entire overhead locker.
Airline ground staff are understandably reluctant to enforce the rules because they don't want disgruntled Mr Big Bags to choose another airline next time. The New York Times reports that United is breaking ranks in the US and hauling the tape measure out. If only others would follow suit.
That's a form of collusion that would benefit everyone.
• The charming woman on the check-in desk couldn't waive my daughter's excess baggage fees because her ticket was on a codeshare airline. But €100 ($159) is not a lot to pay to ensure your daughter takes off in good shape.