Question

Find the number one third of which is \[4\] more than \[5\] .
A. \[27\]
B. \[23\]
C. \[25\]
D. \[29\]

Answer 1

Hint: In this question, we need to find the number when one third of which is \[4\] more than \[5\] . One third is nothing but one part of three equal parts , so the expression that shows one third is \[\dfrac{1}{3}\] . First, let us consider the number as \[x\] . Then we need to form the expression according to the question. Then we need to simplify the expression, to get our required answer.

Complete step by step answer:
Given that a number which is one third of which is \[4\] more than \[5\]. Let us consider the number be \[x\]. According to the question, let us form the expression.That is,
\[\Rightarrow \dfrac{1}{3} \times x = 4 + 5\]
On simplifying we get,
\[\Rightarrow \dfrac{x}{3} = 9\]
On multiplying both sides by \[3\] we get,
\[\Rightarrow \ x = 9 \times 3\]
On simplifying we get,
\[\therefore \ x = 27\]
Thus we get the number as \[27\] .

Therefore, option A is the correct answer.

Note: In order to solve these types of questions, we should have a strong grip over solving algebraic expressions. An algebraic expression is nothing but it is built up with integers, constants, variables and mathematical operations (addition, subtraction, multiplication, division etc… ) In mathematics, a symbol (letter) which doesn’t have a value is called a variable. Similarly which has a fixed value is called constant. In other words, one third is defined as if the numerator goes down into the denominator by three times. We can also check whether our answer is correct or not by substituting the value of \[x\] in the expression which we have formed.