The Saad family is setting up for their annual New Year's party. There will be 143 adults and 62 children coming in the evening. Each table holds 15 people. How many tables will they need for all guests?

The total number of guests coming to the party is 143 adults + 62 children = <<143+62=205>>205.

So, the Saad family will need 205 people / 15 people per table = <<205/15=13.666666666666666>>13.666666666666666 tables.
Rounding up to the nearest whole number, they will need 14 tables. Answer: \boxed{14}.