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.

Answer 1

To determine the lengths of Aseem's and Stana's cars, set up an equation using the information given. Solve the equation to find the lengths of the cars.

Step-by-step explanation:

To determine the lengths of Aseem's and Stana's cars, we can use algebraic equations. Let's assume that the length of Aseem's car is x inches. According to the given information, Stana's car is 5 less than 2 times the length of Aseem's car. So, the length of Stana's car would be 2x - 5 inches.

We also know that the sum of the lengths of both cars is 20 inches. So, we can write the equation: x + (2x - 5) = 20

Simplifying the equation, we get 3x - 5 = 20. Adding 5 to both sides, we have 3x = 25. Finally, dividing both sides by 3, we find x = 8.33 inches.

Therefore, Aseem's car is approximately 8.33 inches long and Stana's car is approximately 13.67 inches long.

Answer 2

3x - 5 = 20

Step-by-step explanation:

Let x be the length ( in inches ) of Aseem's car,

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

So, the length of Stana's car = 2x - 5

Total length of both car = x + 2x - 5 = 3x - 5

According to the question,

Total length of the both car = 20 inches,

⇒ 3x - 5 = 20

Which is the required equation.