Question

Twice a number is 48 less than 4 times a number. find the number

Answer 1

Answer:

x = 24

Step-by-step explanation:

1. First, let's translate the statement into an equation.

• Twice a number means 2x
• is means equal =
• 48 less than 4 times a number means 4x - 48
• 2x = 4x - 48

2. (solving)

Step 1: Subtract 4x from both sides.

• $2x - 4x = 4x - 48 - 4x$
• $-2x = -48$

Step 2: Divide both sides by -2.

• $\frac{-2x}{-2}=\frac{-48}{-2}$
• $x = 24$

Step 3: Check if solution is correct.

• $2(24) = 4(24)-48$
• $48 = 96-48$
• $48 = 48$

Therefore, x = 24.