Answer:
21 and 3
Step-by-step explanation:
Let's call the small number [tex]x[/tex] and the larger number [tex]y[/tex].
According to the problem:
[tex]x=\frac{1}{7}y[/tex]
And when you substract the smaller number from the larger number you get 18:
[tex]y-x=18[/tex]
substituting the first equation in the second one:
[tex]y-\frac{1}{7}y=18\frac{6}{7}y=18\\ y=\frac{18*7}{6} =3*7=21\\y=21[/tex]
the larger number is 21.
Using the first equation to find [tex]x[/tex]:
[tex]x=\frac{1}{7}y\\ x=\frac{1}{7} (21)\\x=3[/tex]
the smaller number is 3.
