Question

Translate the given statement into algebraic expression , the given statement is “half of a number added to “20” is “25”?
A. x/4+20=25
B. x/5+25=20
C. x/2+20=25
D. x/3+20=25

Answer 1

Hint: For converting a statement into an algebraic equation you have to assume variables according to the statement given, the variable assumed is purely dependent on the quantities asked for, and after that just make the mathematical expression according to the statement and after solving the algebraic equation you can find the value of variable you assumed.

Complete step-by-step answer:
For the given statement we have to obtain the expression for a assumed variable say “x” which will satisfy the given condition in the question, now according to that condition we have to frame the mathematical expression, on solving we get:
Analyzing the condition that is half of a number added means the assumed variable should be first divided by two, on framing we get:
\[ \Rightarrow \dfrac{x}{2}\]
Analyzing the second part of the question which is that the number when added to “20” then the result is “25”, on framing the question we get:
\[ \Rightarrow \dfrac{x}{2} + 20 = 25\]
Above is the final expression required as per the condition given in question.
So, the correct answer is “Option C”.

Note:The conversion of statement to the algebraic equation needs only the understanding of the statement, you should be careful about the words written over there and accordingly you can re-write it in the terms of math’s. For example “of” is used for product, “ratio” is used for division, “sum” is used for addition and “difference” is used for subtraction.