Question

The difference of the cost of a pen and pencil is RS 32. Write a linear equation in two variables to represent this statement. If the cost of the pen is thrice the cost of the pencil, then find the cost of the pen and pencil.

Answer 1

hello friend...

let the cost of pencil be X
then, the cost of pen would be 3X
now,
a/q
3X - X = 32
2X = 32
X = 16

so the cost of pencil is ₹32
and cost cost of pen is 3X = 3 × 16 = ₹48

hope you understand...
best of luck...

Answer 2

$\textbf{Answer}$

$\textbf{Lets suppose that,}$
Cost of a pen = x Rs.
&
Cost of a pencil = y Rs.

Since the difference of the cost of a pen and pencil is Rs 32,
=> x - y = 32 --------(1)

$\textbf{General form of linear equation}$ in $\textbf{two variables -}$
$\textbf{ax + by + c = 0}$

So we can write the equation (1) in linear form as,
$\textbf{x - y - 32 = 0}$

$\textbf{According to the question,}$
Cost of a pen is thrice the cost of a pencil,
=> x = 3y

$\textbf{Lets put x as 3y in equation (1),}$

x - y = 32
=> 3y - y = 32
=> 2y = 32
=> $\textbf{y = 16}$

Since x = 3y
=> x = 3×16
=> $\textbf{x = 48}$

$\textbf{Cost of a pen = 48 Rs.}$
$\textbf{Cost of a pencil = 16 Rs.}$
$\textbf{Linear expression is x - y = 32}$


$\textbf{Hope My Answer Helped}$
$\textbf{Thanks}$