Find the number which when multiplied by 15 is increased by 196

General
1

find the number which when multiplied by 15 is increased by 196.

2

Find the Number which when Multiplied by 15 is Increased by 196

Answer:

To solve this problem, we need to find a number ( x ) such that when multiplied by 15, the product is increased by 196. Mathematically, this can be expressed as an equation. Let’s go through the steps to find this number.

Step 1: Set Up the Equation

We know that:

  • ( 15 \times x ) represents the multiplication of the number by 15.
  • The increase by 196 implies adding 196 to the result of the multiplication.

The equation representing this scenario is:

15x = x + 196

Step 2: Solving the Equation

  1. Rearrange the equation to isolate ( x ) on one side.

    • First, subtract ( x ) from both sides to maintain the balance of the equation:
    15x - x = 196

  2. Simplify the left-hand side:

    • This results in:
    14x = 196

  3. Divide both sides by 14 to solve for ( x ):

    x = \frac{196}{14}

  4. Calculate the division:

    • Performing the division, we get:
    x = 14

Final Answer:

The number that when multiplied by 15 gives an increase of 196 is 14.