Question

I thought of a number. after i increased it by 10%, my new number is 1210 . what was the original number?

Answer 1

To find the original number that was increased by 10% to get 1210, you divide 1210 by 1.10, which results in the original number being about 1100.

Step-by-step explanation:

To find the original number before an increase of 10%, we need to recognize that the new number, 1210, represents 110% of the original number. We can express this as an equation where the original number is multiplied by 1.10 (representing 110%) to equal 1210. To solve for the original number, we divide 1210 by 1.10.

Step 1: Set up the equation
Original Number × 1.10 = 1210

Step 2: Divide by 1.10
Original Number = 1210 ÷ 1.10

Step 3: Calculate
The original number is approximately 1100.

The original number before the 10% increase was therefore about 1100. This is how you can use percentages and basic algebra to find an original number given its percentage increase and new total.