Question

Some bikes and autos are parked in a center.There are total 17 vehicles and the total no. of tyres are 46.Find the numbers of bikes and autos.

Answer 1

12 Autos And 5 Bikes Because
12*3=36
5*2=10

Total Vehicle=17
Total Tyres=46

Answer 2

let bike be x and auto be y

so ,

x+y=17

2x+3y=46

now balance x+y =17 by multiplying the whole equation by 3

now we will get

3x+3y=51

now we shall solve the equations

3x+3y=51

2x+3y=46

now if we will subtract the equations then we will get

x=5

now we shall put the value of x

sp

x+y=17

5+y=17

y=17-5

y=12

so there are 5 bikes and 12 autos

or

we can take the values as x and 17-x  then we shall put the value of tyres of bike and autos to get and equation like this 2x +3(17-x)=46 the we will get 2x+51 -3x=46 by solving we will get x as 5 and by putting the values the we will get the same value which is 5 bikes and 12 autos

hope it helps

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