Question

some auto-rickshaws and bikes are parked in a place there are 19in all the total number of wheels is 45.how many auto-rickshaws are there​

Answer 1

Step-by-step explanation:

Let the numbers of auto-rickshaws and bikes be x and y respectively.

According to the first condition:

x + y = 19

$\implies 2x+2y = 38.....(1)$

$\because$ An autorickshaw has 3 wheels and a bike has 2 wheels.

$\therefore 3x + 2y = 45....(2)$

Subtracting equation (1) from equation (2), we find:

3x + 2y - (2x + 2y) = 45 - 38

$\therefore$ 3x + 2y - 2x - 3y = 7

$\therefore$ x = 7

Thus, there are 7 autorickshaws.