The sum of two numbers is 47. The smaller number is 15 less than the larger number. What are the numbers?

Let x = big number
Let ( 47-x)=small number
The smaller number (47 - x) is 15 less than the larger number x.
This is written as (47- x) = x - 15.
We now simply solve for x.
Once we find x, we then can find the two numbers. [
47 - x = x - 15
47+15= x+x
62= 2x
x=62/2= 31
x= 31
The big number is 31.
The smaller number is 47- 31 or 16
]

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