Today is my birthday and I'm three times older than I was six years ago. What is my age?
Let's think: We know that my age divided by three is equal to my age minus six therefore X / 3 = X - 6 where X = My age. This means that X = 3X - 18 because we can multiply both sides by 3. This also means that - 2X = - 18 because we can subtract 3X from the right side. Therefore X = 9 because - 18 / - 2 = 9.. The answer is: 9.

Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of his cards for 15 of Padma's cards. How many cards were traded between both Padma and Robert?
Let's think: Padma traded 2 + 15 of her cards = 17 cards. Robert traded 10 + 8 of his cards = 18 cards. In total, between both of them Padma and Robert traded 17 + 18 = 35 cards.. The answer is: 35.

David has a store where he sells cell phones. When he takes inventory at the end of the day, he notices that he has 10 Samsung cell phones but he started the day with 14 Samsung cell phones. Then he notices that he has 5 iPhones and in the initial inventory, but started with 8. His staff then told him that in the afternoon they realized that 2 Samsung cell phones were damaged and 1 iPhone had a manufacturing defect in the screen, so they threw these out during the day. What was the total number of cell phones that were sold today?
Let's think: The actual initial inventory of Samsung cell phones was 14, but there were 2 defective phones so 14 - 2 = 12 is the initial inventory of working Samsung phones. The actual initial inventory of iPhone cell phones was 8, but there was one defective phone, so 8 - 1 = 7 is the actual initial inventory of working iPhones. Thus only 12 - 10 = 2 Samsung cell phones were sold. Thus only 7 - 5 = 2 iPhones were sold. Thus the total number of phones sold is 2 Samsung + 2 iPhone = 4 cell phones.. The answer is: 4.

In a field of 500 clovers, 20% have four leaves and one quarter of these are purple clovers. Assuming these proportions are exactly correct, how many clovers in the field are both purple and four-leaved?
Let's think:
There are 500 / 5 = 100 four leaf clovers. There are 100 / 4 = 25 purple four leaf clovers.. The answer is: 25.