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! 😀
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