The smaller of two numbers is 7/8 of the larger. their sum is 30. find the two numbers

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

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