One more than 3 times a number is the same as 5 times the number decreased by 15. Find the number
3n + 1 = 5n - 15
16 = 2n
To find the number, let's represent it as a variable. Let's call the number "x".
According to the given information, "One more than 3 times a number" can be written as (3x + 1).
And "5 times the number decreased by 15" can be written as (5x - 15).
Now, we can set up an equation based on the given information:
3x + 1 = 5x - 15
To solve this equation, we need to isolate the variable x on one side. Let's begin solving for x:
3x - 5x = -15 - 1
-2x = -16
To isolate x, divide both sides of the equation by -2:
x = (-16) / (-2)
x = 8
So, the number we are looking for is 8.