When a positive integer m is divided by another positive integer n, the remainder obtained is 8. If m / n = 89.32, what is the value of n?

Question

Vinod · Accepted Answer

First, let's understand what the question is telling us:m is divided by nThe remainder is 8The quotient (m / n) is 89.32
We can represent this mathematically as:m = n * q + rWhere:m is the dividendn is the divisorq is the quotient (89.32)r is the remainder (8)
We know that q is not a whole number, but in division with remainders, q should be the integer part of the division. So, we need to separate the integer and decimal parts:q = 89 (integer part)0.32 (decimal part)
Now, let's set up our equation:m = n * 89 + 8
We also know that m / n = 89.32This means: m = 89.32n
Now we have two expressions for m. Let's equate them:89.32n = n * 89 + 8
Simplify:89.32n = 89n + 8
Subtract 89n from both sides:0.32n = 8
Divide both sides by 0.32:n = 8 / 0.32 = 25
Therefore, the value of n is 25.