From what I understood from the question:
There are 2 numbers. Let's take the smaller number as x and the larger number y.
x+5 =y
The Question also tells us:
3x + 2y = 50
Now, we can substitute the value of y.
3x + 2(x+5) = 50
3x+ 2x + 10 = 50
5x + 10 = 50
5x = 40
x = 8
If x is 8, then y is:
x+5 = y
8+5 = 13
So x is 8 and y is 13.
Hope that helps!!! :)
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