If 7 times a certain number is subtracted from 630, the remainder is thrice the number. Find the number.
630-7x
To solve this problem, we will set up an algebraic equation. Let's assume the certain number is represented by the variable "x".
According to the problem, when 7 times the certain number is subtracted from 630, the remainder is thrice the number. Mathematically, this can be expressed as:
630 - 7x = 3x
Now, let's solve for x:
First, we can simplify the equation by combining like terms:
630 = 10x
To isolate x, we divide both sides of the equation by 10:
630/10 = x
Simplifying further, we get:
63 = x
Therefore, the certain number is 63.