Four times a number plus five times the number is the same as ten more
then eight times the number. Find the number.
4n + 5n = 8n + 10
9n - 8n = 10
n = 10
To solve this problem, we'll use algebraic expressions. Let's assume the number is represented by the variable "x".
According to the problem statement, "Four times a number plus five times the number is the same as ten more than eight times the number". This can be written as an equation:
4x + 5x = 8x + 10
To solve the equation, we'll combine like terms:
9x = 8x + 10
Next, we'll isolate the variable "x" by subtracting 8x from both sides of the equation:
9x - 8x = 8x - 8x + 10
x = 10
Therefore, the number is 10.