Problem Solving

We can express any division problem as:

Dividend = Divisor * Quotient + Remainder

We can use this to build equations based on what we know.

We have a number that we are dividing by other numbers - that's our dividend. We'll call it X. When we divide by some other number (our divisor) we're left with a remainder of 241. So we can write this as:

X = DQ+ 241

If we multiply both sides by 2, we get:

2X = 2DQ + 482

We know that when twice our dividend (2X, which we already have in our equation) is divided by the same divisor, we're left with a remainder of 112 (but a different quotient). So we can rewrite our equation as:

2X = 2DQ + 370 + 112

So here, 2X is our dividend, 112 is our remainder, and 2DQ + 370 equals our divisor times our quotient. We know that 2DQ + 370 must be divisible by our divisor, which means both 2DQ and 370 must be divisible by our divisor. So we can check to see which of our answer choices can be divided into 370. Only 370 can be divided into 370 without creating a remainder, so the correct answer is A.