150k views
1 vote
Three times one number minus another number equals 34. If the sum of the numbers is 22, what are the two numbers?

1 Answer

2 votes

Answer:

8 and 14

Explanation:

let the 2 numbers be x and y with x > y

We can model the situation using the following 2 equations

x + y = 22 → (1)

3x - y = 34 → (2)

adding the equations term by term will eliminate the term in y

(x + 3x) + (y - y) = (22 + 34)

4x = 56 ( divide both sides by 4 )

x = 14

substitute x = 14 into (1)

14 + y = 22 ⇒ y = 22 - 14 = 8







User Jaypatrick M
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories