Multiply me by 4. then substract 13. if you divide me by 3 and add 17, you get 22. what number am i?

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Mathematics

Guest

31 January, 11:59

Multiply me by 4. then substract 13. if you divide me by 3 and add 17, you get 22. what number am i?

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Answers (1)

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Vernon · Answer 1

The answer to the problem is 7 and here's why:

To answer this problem, it's best to work backwards (start at the end and work towards the beginning). If we know that something plus 17 equals 22, then we can represent this as x + 17 = 22. Solving the equation algebraically, we find that x = 5 (this is done by isolating x on one side of the equation, so by subtracting the 22 by 17, which equals 5).

We then know that something divided by 3 equals 5, so we can represent this as x / 3 = 5. Solving the equation algebraically, we find that x = 15 (this is done by isolating x on one side of the equation, so by multiplying the 5 by 3, which equals 15).

We then know that something subtracted by 13 equals 15, so we can represent this as x - 13 = 15. Solving the equation algebraically, we find that x = 28 (this is done by isolating x on one side of the equation, so by adding the 13 to the 15, which equals 28).

Finally, we know that something multiplied by 4 equals 28, so we can represent this as x times 4 = 28. Solving the equation algebraically, we find that x = 7 (this is done by isolating x on one side of the equation, so by dividing the 28 by 4, which equals 7), so 7 is your answer.