Answer:
7 and 8
Step-by-step explanation:
Given
Let the consecutive numbers be: [tex]x, x + 1[/tex]
Such that the relationship between the two numbers is:
[tex]5 x = 3 + 4(x + 1)[/tex] --- from the question
Required
Find the numbers
We have:
[tex]5 x = 3 + 4(x + 1)[/tex]
Open bracket
[tex]5x = 3 + 4x + 4[/tex]
Collect like terms
[tex]5x - 4x = 3 + 4[/tex]
[tex]x = 7[/tex]
So, the consecutive numbers are: 7 and 8