Question

the difference of fare of rail and bus between two cities is ₹75.If the sum of the fares is ₹125. what are the fares of bus and train​

Answer 1

Question:-

the difference of fare of rail and bus between two cities is ₹75.If the sum of the fares is ₹125. what are the fares of bus and train

Answer:-

• The fare of bus is ₹100
• The fare of rail is ₹25.

To find:-

• Fare of rail
• Fare of bus

Solution:-

• Sum of fares = ₹125
• Difference between fares = ₹75

Let,

• Fare of bus = x
• Fare of rail = y

The equations are :-

• x + y = ₹125................(1)
• x – y = ₹75 ...............(2)

Solve equation 1,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: x + y = 125}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: x = 125 - y}$

Put the value of x in equation 2,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: (125 - y) - y = 75}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: 125 - 2y = 75}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: - 2y = 75 - 125}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: - 2y = - 50}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: y = \frac{ - 50}{ - 2} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: y = 25}$

Put value of x in equation 1,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: x + 25 = 125}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: x= 125 - 25}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: x = 100}$

Hence,

• The fare of bus is ₹100
• The fare of rail is ₹25.

Answer 2

Step-by-step explanation:

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