Question

The equation for the statement: ‘half of a number added to 20 is 25’
(a). $\dfrac{x}{4}+20=25$
(b). $\dfrac{x}{5}+25=20$
(c). $\dfrac{x}{2}+20=25$
(d). $\dfrac{x}{3}+20=25$

Answer 1

Hint: : Property of the equation states that we can multiply or divide by the same number on both sides. The statement states that half the variable of the assumed number and the number 20 are on one side and the number 25 on the other side.

Complete step-by-step answer:

In mathematics, an equation is a statement that asserts the equality of two expressions. It also means that a statement in which the values of two mathematical expressions are equal (indicated by the sign =).

Addition property of an equation can be written as follows

Given that A, B and C represent real or complex algebraic expressions, then the following are true:
Addition Property of Equality: If A = B, then A + C = B + C. Note that since subtracting from both sides is the same as adding a negative amount to both sides, subtraction from both sides also is covered by this property.

An equation is a statement that two expressions are equal. To solve equations, we isolate the desired variable on one side of the equation using a set of rules.

In the statement given to us we are told half of a number which means half of the variable which is $\dfrac{x}{2}$. The number 20 is added to the variable and the result is 25
So, we can conclude that option (c) is the answer.

Note: In the given question we have two options a and c both having the same equations with a change of denominator of the variable. Make sure to interpret the equations carefully and write down the constant terms i.e. 20 and 25 on their respective sides so as to obtain our answer efficiently.