Parking lot a has twice as many cars as parking lot b. after 10 cars draw away from parking lot a, and 13 cars moved from parking lot a to parking lot b, parking lots have the same amount of cars. how many cars were there in each parking lot?

asap

Number of cars in Parking lot A = 72 and in Parking Lot B = 36

Step-by-step explanation:

Let the number of cars in parking A is = A and in parking B is = B

Now we will make the equations

" Parking lot A has twice as many cars as Parking lot B"

A = 2B  (1)

"After 10 cars draw away form parking lot A, and 13 cars moved from parking lot A to parking lot B then both the lots have same amount of cars."

A - 10 - 13 = B + 13

A - 23 = B +13

A = B + 13 + 23

A = B + 36 (2)

Now we equate the values of A in both the equations

2B = B + 36

2B - B = 36

B = 36

From equation 1

A = 2B

A = 2×(36) = 72 cars

Therefore, number of cars in Parking lot A = 72 and in Parking Lot B = 36