Question

The sum of a number and its half is five less than twice the number. Which of the following equations represents given statement mathematically?

• A. $x+\frac{x}{2}$$=(2x-5)$
• B. $x+\frac{a}{2}$$=(5-2x)$
• C. $x+\frac{a}{2}=(5-2a)$
• D. $a+\frac{x}{2}$$=2x-5$

Answer 1

The correct option is A

$x+\frac{x}{2}$$=(2x-5)$

$\text{Let the number be '}x\text{'.}$

$\text{Half of the number is}\frac{x}{2}\text{.}$

$\text{Similarly, twice of the number}=2x\text{.}$

$\text{Sum of the number and its half}=x+\frac{x}{2}$

$\text{5 less than twice the number}=2x-5$

Given: Sum of the number and its half is five less than twice of the number.

$\therefore \text{The required equation is}x+\frac{x}{2}=2x-5$​