Answer:
The numbers are [tex]164[/tex] and [tex]287[/tex]
Step-by-step explanation:
Let
x-------> the first number
y-----> the second number
we know that
[tex]\frac{x}{y}=\frac{4}{7}[/tex]
[tex]x=\frac{4}{7}y[/tex] -----> equation A
[tex]y-x=123[/tex] -----> equation B
substitute equation A in equation B
[tex]y-\frac{4}{7}y=123[/tex]
[tex]\frac{3}{7}y=123[/tex]
[tex]y=123*7/3=287[/tex]
Find the value of x
[tex]x=\frac{4}{7}(287)=164[/tex]
