Each of Tom's visits was 200 * .7 = $140 cheaper. So he paid $200 - $140 = $60 per visit. That means he paid $60 * 2 = $120. So he saved $200 - $120 = $80.
The answer: 80
Reverse engineering the question: Tom cannot afford a normal doctor, so he goes to a discount clinic that is 70% cheaper.  It takes two visits, though, instead of 1.  A normal doctor charges $200 for a visit.  How much money does he save?


Reasoning and answer: When Katherine is 2 dozen years old, she will be 2 * 12 = 24 years old. If Mel is three years younger than Katherine, then when Katherine is 24 years old, Mel will be 24 - 3 = 21 years old.
The answer: 21
What was the question?
Question: Mel is three years younger than Katherine. When Katherine is two dozen years old, how old will Mel be in years?


There were 120 / 3 = 40 men at the party. There were 120 / 2 = 60 women at the party. So, there were 40 + 60 = 100 men and women at the party. Thus, 120 - 100 = 20 were children.
The answer: 20
Reverse engineering the question: Out of the 120 people who attended the party, 1/3 are men while half are women. The rest are children. How many children attended the party?


Reasoning and answer: If Kevin has 40 counters, and Reina has three, the number of counters Kevin has, Reina has 3 * 40 = 120 counters. Reina also has four times the number of marbles that Kevin has, meaning he has 4 * 50 = 200 marbles. In total, Reina has 120 counters + 200 marbles = 320 items.
The answer: 320
What was the question?
Question: Reina has three times the number of counters and four times the number of marbles as Kevin. If Kevin has 40 counters and 50 marbles, calculate the number of counters and marbles that Reina has?


Lake Crystal has twenty percent fewer frogs than Lassie Lake, a total of 20 / 100 * 45 = 9 frogs. The total number of frogs in Lake Crystal is 45 - 9 = 36. Together, the two lakes have 36 + 45 = 81 frogs.
The answer: 81
Reverse engineering the question: Lake Crystal has twenty percent fewer frogs than Lassie Lake. If Lassie Lake has forty-five frogs, how many frogs are there in total in the two lakes?


Paityn has a total of 20 hats + 24 hats = 44 hats. The number of red hats that Zola has is 4 / 5 * 20 hats = 16 hats. Zola also has 2 * 24 hats = 48 blue hats. Zola has a total of 48 hats + 16 hats = 64 hats. When they combine their hats, they have 64 hats + 44 hats = 108 hats. If they share the hats equally, each get 108 hats / 2 people = 54 hats / person.
The answer: 54
Reverse engineering the question:
Paityn has 20 red hats and 24 blue hats. Her friend Zola has 4/5 times as many red hats as she has and twice the number of blue hats. If they combine all the hats together and share them equally between themselves, calculate the number of hats each gets.