NumbersA student was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was 10 less than the correct answer. The number was :Options12101520

Let's solve the problem step by step:

1. Let's assume the number the student was asked to multiply is "x".

2. The student divided the number by 3/2 instead of multiplying it. So, the incorrect calculation can be represented as: x / (3/2).

3. The correct calculation would be multiplying the number by 3/2. So, the correct calculation can be represented as: x * (3/2).

4. According to the problem, the student's result was 10 less than the correct answer. So, we can set up the equation: x / (3/2) = (x * (3/2)) - 10.

5. Now, let's solve the equation:

   • Multiply both sides of the equation by (3/2) to eliminate the denominator: x = (x * (3/2)) * (3/2) - 10 * (3/2).
   • Simplify the equation: x = (9/4) * x - 15.

6. To isolate the variable "x", let's move all terms with "x" to one side of the equation: x - (9/4) * x = -15.

   • Simplify the equation: (4/4) * x - (9/4) * x = -15.
   • Combine like terms: (-5/4) * x = -15.

7. Now, let's solve for "x":

   • Multiply both sides of the equation by (-4/5) to isolate "x": x = (-15) * (-4/5).
   • Simplify the equation: x = 12.

8. Therefore, the number the student was asked to multiply is 12.

So, the correct answer is 12.