If one third of a number is 10 less than the original number,what is the number?
1/3 N = N+10
N=3N+30
2N=30
N=15
1/3N=N+10
N=3N+30
-3N+N=30
-2N=30
N=-30/2
N=-15
To find the number, let's break down the problem step by step.
Step 1: Start by representing the unknown number with a variable. Let's call the unknown number "x."
Step 2: One third of a number can be represented as (1/3)*x.
Step 3: According to the problem, one third of the number is 10 less than the original number. So, we can write this as an equation:
(1/3)*x = x - 10
Step 4: To solve this equation, we need to isolate the variable on one side of the equation. Let's multiply both sides of the equation by 3 to eliminate the fraction:
3 * (1/3)*x = 3 * (x - 10)
x = 3x - 30
Step 5: Next, let's simplify the equation by combining like terms:
x - 3x = -30
-2x = -30
Step 6: Now, divide both sides of the equation by -2 to solve for x:
x = (-30)/(-2)
x = 15
So, the number is 15.