Answer:
Define the two numbers as
x
x+7
2(x+7) + 1 = 5x
2x + 14 + 1 = 5x
15 = 3x
3x = 15
x = 5
x+7 = 12
One number is 7 less than another. 5 is 7 less than 12.
Twice the second number = 2*12 = 24
Is 24, 1 less than 5 times the first number.
5*5 = 25
25-24 = 1
The smaller of the two numbers is 5.