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True [87]
2 years ago
15

The sum of 3 consecutive multiples of 4 is 180.

Mathematics
1 answer:
Paul [167]2 years ago
7 0

9514 1404 393

Answer:

  56, 60, 64

Step-by-step explanation:

The middle of the three numbers is their average: 180/3 = 60. The other two will be 4 more or less than this.

The numbers of interest are 56, 60, 64.

_____

<em>Additional comment</em>

For "consecutive integer" problems, it is often useful to work with the average of the numbers. The average will be the middle number of an odd number of numbers (as here), or will be halfway between the two middle numbers if their number is even.

Even if you bother to write equations, it can work to do that in terms of the average value (middle number): (x -4) +(x) +(x +4) = 180 in this case.

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Answer:

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Step-by-step explanation:

I suppose that we want to solve the equation:

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To solve this, we first need to isolate one of the variables in one of the equations.

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Now we can replace this in the other equation:

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