if eight times a number is increased by three the result is 19 more than six times this number. find the number
8n + 3 = 19 + 6n
2n = 16
the number is 8
If the product of some number and 6 is increased by 16, the result is eight times the number. What is the number?
A 90 cm piece of pipe is cut into two parts. One piece is 12 cm longer than the other. How long are the two pieces?
To find the number, let's break down the information given and solve the equation step by step.
The problem provides us with the following information:
1. "Eight times a number" can be represented as 8x.
2. "Increased by three" means we need to add 3 to 8x, resulting in 8x + 3.
3. "The result is 19 more than six times this number" can be written as 6x + 19.
Now we can set up the equation based on the given information:
8x + 3 = 6x + 19
We want to isolate the variable x to find its value. To do this, we need to simplify the equation by combining like terms:
8x - 6x = 19 - 3
Simplifying further:
2x = 16
Finally, we solve for x by dividing both sides of the equation by 2:
x = 16 / 2
x = 8
So the number we are looking for is 8.