Chapter 1.2, Problem 32E

To determine

To calculate: To write and solve the equation

Answer to Problem 32E

Equation is $2x+\frac{x}{2}=10$

Solution of equation is $x=4$

Explanation of Solution

Given: The sum of twice a number and half the number is $10$

Calculation:

Given thatsum of twice a number and half the number is $10$

Let the number be $x$

Thus, equation is given as

  $2x+\frac{x}{2}=10$

On solving the equation:

  $\begin{array}{l}\frac{5x}{2}=10\\ 5x=20\\ x=\frac{20}{4}\\ x=4\end{array}$

Conclusion:

Hence, Equation is $2x+\frac{x}{2}=10$

Solution of equation is $x=4$