Answer:
The two numbers are 3 and 6.
Step-by-step explanation:
Let one number be a and the other be b.
We're given:
- [tex]a-b=3[/tex]
- [tex]\dfrac{a}{b}=2[/tex]
Isolate a in the second equation and solve for b:
[tex]\dfrac{a}{b}=2\\\\a=2b[/tex]
[tex]a-b=3\\2b-b=3\\b=3[/tex]
Therefore, the second number is 3.
[tex]a-3=3\\a=6[/tex]
Therefore, the first number is 6.
