Questions: Let x represent the number. Use the given conditions to write an equation. Solve the equation Three times the sum of three and a number is 60. Find the number. Write an equation for the given conditions. 3(x+3) = 60

Solution Steps

To solve the problem, we need to:

1. Translate the given condition into a mathematical equation.
2. Solve the equation for the unknown variable \( x \).

The condition given is "Three times the sum of three and a number is 60." This translates to the equation \( 3(x + 3) = 60 \).

1. Translate the condition into an equation: \( 3(x + 3) = 60 \).
2. Solve the equation for \( x \).

The given condition is "Three times the sum of three and a number is 60." This translates to the equation: \[ 3(x + 3) = 60 \]

First, distribute the 3 on the left-hand side: \[ 3x + 9 = 60 \]

Subtract 9 from both sides to isolate the term with \( x \): \[ 3x = 60 - 9 \] \[ 3x = 51 \]

Divide both sides by 3 to solve for \( x \): \[ x = \frac{51}{3} \] \[ x = 17 \]

Final Answer