Final answer:
To find a division problem with an answer of 3 and a remainder of 12, you can use the formula: Dividend = (Divisor × Quotient) + Remainder. By choosing a divisor greater than 12 and applying this formula, a suitable division problem is 51 ÷ 13, yielding a quotient of 3 and a remainder of 12.
Step-by-step explanation:
To create a division problem with an answer of 3 and a remainder of 12, you should first understand that when you divide two numbers, the result is composed of a quotient and potentially a remainder if the division is not exact. In this case, the quotient is 3, and the remainder is 12.
The next step is to find a dividend (the number being divided) and a divisor (the number you're dividing by) that fits this scenario. Since the division leaves a remainder larger than the quotient, it's clear that the divisor must be greater than 12.
One way to solve this is to use the formula: Dividend = (Divisor × Quotient) + Remainder. You can select any divisor larger than 12; let's choose 13, for example. Using the formula: Dividend = (13 × 3) + 12, which results in a dividend of 51.
So the complete division problem that satisfies the conditions is 51 ÷ 13, which would give a quotient of 3 and a remainder of 12.