The sum of four times a first number and eight times a second number is 64. If the second number is subtracted from four times the first number, the result is 19. Find the numbers.

Question

Alberto Lang

Mathematics

10 December, 16:36

The sum of four times a first number and eight times a second number is 64. If the second number is subtracted from four times the first number, the result is 19. Find the numbers.

+5

Answers (1)

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Ramiro Marquez · Answer 1

First number is 6, second is 5

Step-by-step explanation:

What you have to do here is make a system of equations. X will be the first number, and y will be the second. With the first sentence, we can make the equation 4x + 8y = 64. The second sentence gives us 4x - y = 19. We can subtract these two equations to get 9y = 45. Quickly solving this we get y = 5. If we plug that in to the second equation, then we get 4x - 5 = 19. 4x = 24, then we solve that and get 6.