Question

The sum of twice a number and 4 times another number is 4. The first number decreased by the

econd number is 5. Find the numbers.

Answer 1

4 and -1

Explanation:

Let :

• First number = x
• Second number = y

Equations formed :

1. 2x + 4y = 4 ⇒ x + 2y = 2
2. x - y = 5

Subtract : Equation 1 - Equation 2

• x + 2y - x + y = 2 - 5
• 3y = -3
• y = -1

• x - (-1) = 5
• x + 1 = 5
• x = 4

The numbers are : 4 and -1