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When dividing 78 by
N you get a remainder of 8. All possible values of N

User VAr
by
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1 Answer

2 votes

Answer:

62,31,20

Explanation:

When dividing 78 by N, you get a remainder of 8. To find all possible values of N, we need to consider numbers that evenly divide 70, which is obtained by subtracting the remainder (8) from the dividend (78).

So, we have 70 = N * Q + 8, where Q represents the quotient.

To find all possible values of N, we can substitute different values for Q and solve for N.

Let's try a few values of Q:

1. If Q = 1, then 70 = N * 1 + 8. By subtracting 8 from both sides, we get 62 = N. So, N = 62.

2. If Q = 2, then 70 = N * 2 + 8. By subtracting 8 from both sides and dividing by 2, we get 31 = N. So, N = 31.

3. If Q = 3, then 70 = N * 3 + 8. By subtracting 8 from both sides and dividing by 3, we get 20 = N. So, N = 20.

As we can see, the possible values of N are 62, 31, and 20. These are the numbers that, when divided into 78, will leave a remainder of 8.

Remember, this method works for any dividend and remainder, not just in this specific case.

User Dsapalo
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