First we need to know what half of Bills toys are, 60 toys / 2 = 30 toys. Hash has 9 toys + 30 toys = 39 toys. Together the boys have 60 toys + 39 toys = 99 toys.
The answer: 99
Reverse engineering the question: Hash has nine more than half as many toys as Bill has. If Bill has 60 toys, how many total toys do the boys have?
Reasoning and answer: There are 6 toddlers, which means that the children's home has 5 teenagers / toddler * 6 toddlers = 30 teenagers. Diana will be shopping for 40 children - 30 teenagers - 6 toddlers = 4 newborns.
The answer: 4
What was the question?
Question: Diana wants to buy winter clothes for all the 40 children at her local children's home. The home has five times as many teenagers as toddlers. There are also some newborns. If there are 6 toddlers, for how many newborns will Diana be shopping?
The area of the rectangle is 3 x 6 = 18 sq in. The area of the square is 5 x 5 = 25 sq in. The difference is 25 - 18 = 7 sq in.
The answer: 7
Reverse engineering the question: A rectangle has a length of 3 inches and a width of 6 inches. A square has a width of 5 inches. What is the difference in area between the two shapes?
Reasoning and answer: In six years, Jane will be 28 + 6 = 34 years old. Dara will be half the age of Jane in six years, meaning she will be 34 / 2 = 17 years old in six years. Currently, Dara is 17 - 6 = 11 years old. Dara has to wait for 25 - 11 = 14 more years to reach the company's minimum age of employment.
The answer: 14
What was the question?
Question: The minimum age required to be employed at a company is 25 years. Dara aspires to work for the company and will be half the age of Jane in six years. If Jane is currently working for the company and is 28 years old, how long is it before Dara reaches the minimum age required by the company to be employed?
Tom is currently two times older than Ann, which means he is 6 * 2 = 12 years old. In ten years Ann is going to be 6 + 10 = 16 years old. And Tom is going to be 12 + 10 = 22 years old. So the sum of their ages will be 16 + 22 = 38.
The answer: 38
Reverse engineering the question: Ann is 6 years old. Her brother Tom is now two times older. What will be the sum of their ages 10 years later?
From the 9th floor, the elevator went down to the 9 - 7 = 2nd floor. Then went up to the 2 + 3 = 5th floor. Then, went up to the 5 + 8 = 13th floor; hence there are 13 floors in the building.
The answer: 13
Reverse engineering the question:
An elevator is on the 9th floor. It goes down 7 floors, then up 3 floors, then up 8 floors. If the elevator is on the top floor, how many floors are there in the building?