Question

a person only one rupee and two Rupee coins in it number of 2 rupee coins is one third the number of one rupee coin if the purse has 115 rupees find the number of 2 rupee coins

Answer 1

$\textbf{Answer}$

Suppose number of 1 rupee coin = x

Since number of 2 rupee coin is one third of the number of one rupee coin,

=> Number of 2 rupee coin = 1/3 (x) = (x/3)

So the value of 1 rupee coin = (x)×1
=> Value of one rupee coin = x
&
Value of 2 rupee coin = 2×(x/3) = 2x/3

Since the total value of both coins is given 115 rupees in the question,

=> $\textbf{x + 2x/3 = 115}$

=> 5x/3 = 115

=> 5x = 345

=> x = 69

=> x/3 = 69/3 = 23

$\textbf{Lets verify the value of x,}$

So value of 1 rupee coin = 69 rupee
Value of 2 rupee coin = 46 rupee
So total sum = 69+46 = 115 rupee which satisfies the given value.

So we can conclude that,
$\textbf{Number of 1 rupee coin=69}$

$\textbf{Number of 2 rupee coin=23}$

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

Answer 2

Suppose number of 1 rupee coin = x

Since number of 2 rupee coin is one third of the number of one rupee coin,

=> Number of 2 rupee coin = 1/3 (x) = (x/3)

So the value of 1 rupee coin = (x)×1 
=> Value of one rupee coin = x 
&
Value of 2 rupee coin = 2×(x/3) = 2x/3

Since the total value of both coins is given 115 rupees in the question,

=> \textbf{x + 2x/3 = 115}x + 2x/3 = 115 

=> 5x/3 = 115

=> 5x = 345

=> x = 69

=> x/3 = 69/3 = 23

\textbf{Lets verify the value of x,}Lets verify the value of x, 

So value of 1 rupee coin = 69 rupee
Value of 2 rupee coin = 46 rupee
So total sum = 69+46 = 115 rupee which satisfies the given value.

So we can conclude that,
\textbf{Number of 1 rupee coin=69}Number of 1 rupee coin=69 

\textbf{Number of 2 rupee coin=23}Number of 2 rupee coin=23