Question

A number increased by one-third of the number is 5.

Answer 1

Step-by-step explanation:

In the following figure ,ABD=3DAB=andADC=120

Answer 2

Given: A number is increased by one-third of the number is 5.

We have to find the missing number.

By using the Bodmas rule, we are solving the above equation.

As we know that the Bodmas rule is used to remember the order of operations to be followed while solving expressions in mathematics.

Where,

$\begin{array}{l}\mathrm{B}=\text{brackets}\\\mathrm{O}=\text { order of powers or rules } \\\mathrm{D}=\text { division } \\\mathrm{M}=\text { multiplication } \\\mathrm{A}=\text { addition } \\\mathrm{S}=\text { subtraction }\end{array}$

We are solving in the following way:

Let assume the missing number will be$'x'$.

Now, from the given statement we can write:

$x+\frac{1}{3}\times x =5$

Solving the above equation further we get,

$\Rightarrow \frac{3x+x}{3} =5\\\\\Rightarrow 3x+x=5\times3\\\Rightarrow3x+x=15\\\Rightarrow 4x=15\\\Rightarrow 4x=15\\\Rightarrow x=\frac{15}{4} \\\\\Rightarrow x=3.75$

Hence, the number will be$3.75$.