Question

75 less than four times a number is equal to the number. what is the number

Answer 1

number = 25

Explanation:

❖ First, let's set up the equation.

• "75 less than four times a number" means 4x - 75
• "is equal to the number" means = n (n = number)

• n = 4n - 75

Solving

Step 1: Subtract 4n from both sides

• 
  `n-4n=4n-75-4n`
• 
  `-3n=-75`

Step 2: Divide both sides by -3.

• 
  `-3n/-3=-75/-3`
• 
  `n = 25`

Step 3: Check if solution is correct.

• 
  `25=4(25)-75`
• 
  `25=100-75`
• 
  `25=25`

Therefore, the number is 25.