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Father of the Brides

Math brain teasers require computations to solve.

 

Puzzle ID:#8868
Fun:*** (2.35)
Difficulty:*** (3)
Category:Math
Submitted By:dewtell*us******
Corrected By:cinnamon30

 

 

 



The wedding reception was winding down as Bill Johnson, the father of the bride, held forth to anyone who was left to hear his report on the fiscal damages.

"That's the last one married off - thank goodness! That's been one wedding a year for the last four years I've had to pay for. Alice got married three years ago, then Barbara, Cheryl, and now Denise. They've all gotten married on the same day, June 30th, for some reason, and each girl had to have her three sisters as the bridesmaids, but could they share a color scheme? No - each one had to have her own colors. God forbid they should be able to reuse the bridesmaids' dresses, let alone share a wedding dress. Alice tried to persuade Denise to reuse her color scheme, but Denise said she had lived with her older sister's hand-me-downs long enough.

Funny thing, though - each bride managed to get married when her age was just the same as the sum of the digits of the ages of her three sisters. You don't see that every day, I bet. But why couldn't they share something that costs money instead of this trivia?"

Bill didn't mention how old his daughters are, but he's given us enough information to work out all four ages. How old are they?

Open Calculator

Hint

1. Any non-negative integer is congruent to the sum of its digits, mod 9. (They have the same remainder when divided by 9.)

2. Each daughter was between 17 and 33 at the time of her wedding.

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