Hello!
To start off let's give these anonymous numbers two different variables...
x = smaller number y = larger number
It says that the smaller number is 7/8 of the larger one so lets make that an equation....
x = (7/8)y
It then says that the sum of the two numbers is equal to 30, lets give that an equation too...
x + y = 30
Now all we have to do is substitute the equation for x into the equation above
x + y = 30 ---> x = (7/8)y
(7/8)y + y = 30 -- x = (7/8)(16)
[ (7/8)y + y = 30 ] * 8 -- x = 14
7y + 8y = 240 --
15y = 240 --
y = 16 --
The two numbers are 14 and 16
I hope this helps! :D
Please vote me for Brainliest if there is a second answer!