### Brain Teasers

# The Four Integers

There are four different integers. Here are eight clues to help you find out what they are.

The sum of the three lowest numbers is 0.

The two lowest numbers are negative, and consecutive.

The highest number is the second-lowest number squared.

The difference of all the numbers (in order from greatest to least) is 9.

The difference of all the numbers (in order from least to greatest) is -17.

The difference of the two highest numbers is 2.

The sum of the two lowest numbers is -7.

The second-lowest number plus 10 is the second-highest.

What are the four integers?

The sum of the three lowest numbers is 0.

The two lowest numbers are negative, and consecutive.

The highest number is the second-lowest number squared.

The difference of all the numbers (in order from greatest to least) is 9.

The difference of all the numbers (in order from least to greatest) is -17.

The difference of the two highest numbers is 2.

The sum of the two lowest numbers is -7.

The second-lowest number plus 10 is the second-highest.

What are the four integers?

### Hint

You didn't forget about negative numbers, did you?### Answer

9, 7, (-3), (-4)7 + (-3) + (-4) = 0

(-3) and (-4) are negative and consecutive.

(-3sqrd) is (-3)*(-3), which is 9.

9 - 7 - (-3) - (-4) = 9

(-4) - (-3) - 7 - 9 = -17

9 - 7 = 2

(-3) + (-4) = -7

(-3) + 10 = 7

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