3 times the initial amount of 10 oz is 3 * 10 = 30 oz. He has consumed 10 + 12 = 22 oz of rum. He can still consume 30 - 22 = 8 oz of rum.
The answer: 8
Reverse engineering the question: Sally Draper gave her dad Don Draper 10oz of rum on his pancakes. Don can consume a maximum of 3 times that amount of rum for a healthy diet. If he already had 12oz of rum earlier that day, how many oz of rum can Don have after eating all of the rum and pancakes?


Reasoning and answer: On Monday Elisa paints 30 square feet of wall. She paints 2 x 30 square feet on Tuesday = 60 square feet of wall. On Wednesday Elisa paints 1 / 2 as many square feet as she painted on Monday, 1 / 2 x 30 square feet = 15 square feet of wall. In total, Elisa paints 30 + 60 + 15 = 105 square feet of wall.
The answer: 105
What was the question?
Question: On Monday Elisa paints 30 square feet of her house's walls. On Tuesday she paints twice that amount. On Wednesday she finishes up by painting half as many square feet as she painted on Monday. How many square feet total does Elisa paint in her house?


Dexter have 9 x 15 = 135 basketball cards. He filled 9 - 3 = 6 plastic boxes with football cards. So, he has 6 x 20 = 120 football cards. Therefore, Dexter has 135 + 120 = 255 cards in total.
The answer: 255
Reverse engineering the question: Dexter filled 3 fewer plastic boxes with football cards than basketball cards. He filled 9 boxes with basketball cards and each box has 15 cards. For the boxes with football cards, he filled each box with 20 cards. How many cards does Dexter have in total?


Reasoning and answer: There are 4 weeks in a month so Cathy and Chris were supposed to work for 4 weeks / month x 2 months = 8 weeks each. Since Chris got sick then Chris was only able to work for 8 weeks - 1 week = 7 weeks while Cathy worked for 8 weeks + 1 week = 9 weeks. Therefore, Cathy worked for 9 weeks x 20 hours / week = 180 hours.
The answer: 180
What was the question?
Question: Cathy and Chris got summer jobs at the cake shop and were supposed to work 20 hours per week each for 2 months. During that time, Chris got sick for one week and Cathy took her shifts. If there are four weeks in a month, how many hours did Cathy work during the 2 months?


From 2pm to 4pm is 4 - 2 = 2 hours. Thus, from 2 - 4pm, raining at 4 inches per hour, it added 8 inches to the rain gauge. From 4pm to 7pm is 7 - 4 = 3 hours. Thus, from 4 - 7pm, raining at a rate of 3 inches per hour, it added 3 * 3 = 9 inches to the rain gauge. From 7pm to 9pm is 9 - 7 = 2 hours. Thus, from 7 - 9pm, raining at a rate of 0.5 inches per hour, it added 2 * 0.5 = 1 inch to the gauge. If the gauge originally contained 2 inches of water, by 9pm the gauge contained 2 + 8 + 9 + 1 = 20 inches of water.
The answer: 20
Reverse engineering the question: In a single day, it rained for many hours. From 2pm to 4pm, it rained at a rate of 4 inches per hour. From 4pm to 7pm, it rained at a rate of 3 inches per hour. And from 7pm to 9pm, it rained at a rate of 0.5 inches per hour. If the rain gauge started out the day already containing 2 inches of rainwater, how many inches of water will the gauge contain at 9pm?


Let x be David's age. Yuan is seven years older than David, 7 + x = Y years. Yuan is also twice David's age, 2 * x = Y years. Since these two equations equal the same thing, we can write: 7 + x = 2 * x. Subtracting x from both sides we get 7 = x, so David is 7 years old.
The answer: 7
Reverse engineering the question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Yuan is 7 years older than his brother David and twice his age. How old is David?