Question

A 2 digit number is obtained multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3 find the numbers

Answer 1

let digits be a b then 10a+b=8a+8b-5.
10a+b=16a-16b+3
results in a=8. b=3. 83 corroborates statements.