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MaRussiya [10]
3 years ago
12

Five less than twice a number is equal to 57

Mathematics
1 answer:
Sliva [168]3 years ago
5 0
The easiest way to do this is to break it down and translate it before solving. Start with twice a number, if you use n to represent eh number, you will have 2n. Then, add the 'less than' part. 'Five less than' means that five is being subtracted from the next part, which is 2n. Now you have 2n - 5. The last translation is simple, 'equal to 57' will complete the equation as 2n - 5 = 57.
If you want to solve the equation, use the Order of Operations.

2n - 5 = 57    Add 5 to both sides
     2n = 62    Divide both sides by 2
       n = 31
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Another example is how the numbers 2 and 3 in the left-most and right-most squares add up to the number 5 in the bottom square and multiply to the number 6 in the top square.


Using this information, we can solve the five problems on the bottom of the paper.


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Using this, we can fill in the top square with the number 12 and the bottom square with the number 7.


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Using this, we can fill the top square in with the number 6 and the bottom square with the number -5.


c) This time, we are given the numbers which we typically find by adding and multiplying. We will have to use trial and error to find the numbers in the left-most and right-most squares.


We know that 12 has the positive factors of (1, 12), (2,6), and (3,4). Using trial and error we can figure out that 3 and 4 are the numbers that go in the left-most and right-most squares.


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