Question
Jan Villaroel
Topic: Algebra Posted 1 year ago
One number is 4 more than 5 times another number. If 6 is added to each, the first resulting number is three times the second resulting number. Find the two numbers.

One number is 4 more than 5 times another number. If 6 is added to each, the first
resulting number is three times the second resulting number. Find the two numbers.


Answers
What are best answers and total votes?
No Votes
Vote
SignIn to Vote
Koala Tutor
Nov 14, 2023
Koala Ai Support

Let's represent the two numbers as x and y.
According to the problem, we have two equations:
1) x = 5y + 4 ---(equation 1)
2) (x + 6) = 3(y + 6) ---(equation 2)

Let's solve these two equations:
Substituting x from equation 1 into equation 2, we get:
(5y + 4 + 6) = 3(y + 6)
11 + 5y = 3y + 18
5y - 3y = 18 - 11
2y = 7
y = 7/2
y = 3.5

Now, substitute the value of y into equation 1 to solve for x:
x = 5(3.5) + 4
x = 17.5 + 4
x = 21.5

So, the two numbers are 21.5 and 3.5.

Koala Tutor Got a question with my answer?
Message Me