Question

Aseem and Stana are building model cars. Stana's car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20 inches. Write an equation to determine the lengths of Aseem's and Stana's cars.

1. 2x − 5 + x = 20
2. 5 − 2x + x = 20
3. 2x − 5 = 20
4. 5 − 2x = 20

Answer 1

Equation to determine the lengths of Aseem's and Stana's cars is:

1. 2x − 5 + x = 20

Explanation:

Let length of Aseem's car= x

Stana's car is 5 less than 2 times the length of Aseem's car.

i.e. Length of Stana's car= 2x-5

The sum of the lengths of both cars is 20 inches.

i.e. 2x-5+x= 20

Hence, equation to determine the lengths of Aseem's and Stana's cars is:

1. 2x − 5 + x = 20

Answer 2

1. 2x - 5 + x = 20

Explanation:

Let Aseem's car as x,

Stana's = 5 less than 2x

= 2x - 5

Aseem's + Stana's = 20

x + 2x - 5 = 20

2x - 5 + x = 20