Question

I think of a number Then I multiply it by 3Then I add 4 Then I divide the answer by 4. My final answer is 3 less than the number I thought of at the beginning 1. Write down an algebraic equation that represents this problemSolve your equation to find the number Max started with. 2(a) Another think of a number' problem is represented by the equation below
`4( (3w + 5)/(4) + 2) - 3 = 5w`

Answer 1

Think of an unknown number "x".

multiply it by 3 --> 3 x

add 4 --> 3 x + 4

divide the answer by 4: --> (3 x + 4 ) / 4

this is 3 less than the original number:

(3 x + 4)/ 4 = x - 3 <== This is the equation that represents the problem

solve for "x", starting by multiplying by 4 both sides to get rid of the denominator on the left:

3 x + 4 = 4 x - 12

subtract 3 x from both sides to gather all the terms in 'x" on the right.

4 = 4 x - 3 x - 12

combine

4 = x - 12

add 12 on both sides:

16 = x <== this is the answer

Then the original number was x = 16