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Infants and Egg Allergies. Since egg allergies can create dangerous symptoms in kids, many pediatricians do not recommend serving egg whites until the baby is older than one year. Since the egg white contains allergenic components, yolks generally tend to be safer. Your pediatrician will recommend a good time to introduce egg whites.
I think after a year, it's ok with the egg whites; but my daughter has been eating scrambled eggs (the whole egg) since about 8 months also. If you or kids have history of food allergies, take it slow to be able to watch for any reaction. You could start as early as 7 months with mashed hard boiled egg yolk, just about 1 or 2 teaspoons. I used to add a little to cereal. Egg white can be added when your baby is one year of age.