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Weighing the Baby

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weighing the baby at the clinic was a problem. The baby would not keep still and caused the scales to wobble. So I held the baby and stood on the scales while the nurse read off $78\;\mathrm{kg}$. Then the nurse held the baby while I read off $69\;\mathrm{kg}$. Finally I held the nurse while the baby read off $137\;\mathrm{kg}$. What was the combined weight of all three?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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