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×2×2+2+21414Owen says:'I think of a number. I double my number and add 2 the answer is 14'What number was Owen first thinking of? Working: Landon says:'I am also thinking of a number. If I multiply my number by 2 and add 5 the answer is 9'What number was Landon first thinking of? Working: Diego says:'I think of a number. I multiply my number by 3 and add 4 the answer is 64'What number was Diego first thinking of? Working: Brian says:'Can you guess what number I am thinking of if when I multiply it by 6 and add 3 the answer is 63?'What number was Brian first thinking of? Working: Adam says:'If I divide my number by 5 and add 2 the answer is 12'What number was Adam first thinking of?

Question

×2×2+2+21414Owen says:'I think of a number. I double my number and add 2 the answer is 14'What number was Owen first thinking of? Working: Landon says:'I am also thinking of a number. If I multiply my number by 2 and add 5 the answer is 9'What number was Landon first thinking of? Working: Diego says:'I think of a number. I multiply my number by 3 and add 4 the answer is 64'What number was Diego first thinking of? Working: Brian says:'Can you guess what number I am thinking of if when I multiply it by 6 and add 3 the answer is 63?'What number was Brian first thinking of? Working: Adam says:'If I divide my number by 5 and add 2 the answer is 12'What number was Adam first thinking of?

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Solution

Sure, let's solve these problems one by one:

  1. Owen's number: Owen doubles his number and adds 2 to get 14. Let's denote Owen's number as x. So, 2x + 2 = 14. Subtract 2 from both sides: 2x = 14 - 2 = 12. Divide both sides by 2: x = 12 / 2 = 6. So, Owen was first thinking of the number 6.

  2. Landon's number: Landon multiplies his number by 2 and adds 5 to get 9. Let's denote Landon's number as y. So, 2y + 5 = 9. Subtract 5 from both sides: 2y = 9 - 5 = 4. Divide both sides by 2: y = 4 / 2 = 2. So, Landon was first thinking of the number 2.

  3. Diego's number: Diego multiplies his number by 3 and adds 4 to get 64. Let's denote Diego's number as z. So, 3z + 4 = 64. Subtract 4 from both sides: 3z = 64 - 4 = 60. Divide both sides by 3: z = 60 / 3 = 20. So, Diego was first thinking of the number 20.

  4. Brian's number: Brian multiplies his number by 6 and adds 3 to get 63. Let's denote Brian's number as a. So, 6a + 3 = 63. Subtract 3 from both sides: 6a = 63 - 3 = 60. Divide both sides by 6: a = 60 / 6 = 10. So, Brian was first thinking of the number 10.

  5. Adam's number: Adam divides his number by 5 and adds 2 to get 12. Let's denote Adam's number as b. So, b/5 + 2 = 12. Subtract 2 from both sides: b/5 = 12 - 2 = 10. Multiply both sides by 5: b = 10 * 5 = 50. So, Adam was first thinking of the number 50.

This problem has been solved

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