A number is subtracted by 10 and then divided by 3 . when 7 is added to this result is becomes 4 . what was the initial number

Let's break it down! If we let the initial number be \( x \), then the equation based on the problem would look like this: \[ \frac{x - 10}{3} + 7 = 4 \] First, subtract 7 from both sides: \[ \frac{x - 10}{3} = -3 \] Next, multiply both sides by 3: \[ x - 10 = -9 \] Finally, add 10 to both sides to find \( x \): \[ x = 1 \] So, the initial number is 1!