1A56B is a five digit number. When 1A56B is divided by 36 the remainder is 23. How many possible value can A take?
#anyone to help me out
Take the smallest 5 digit number, 10000, subtract 23, and divide the result by 36 - this gives 277.14, so the smallest integer multiplier we can use on 36 to get a five digit number is 278.
Now use a graphing calculator (or Excel spreadsheet) to generate a table for the formula y = 36x + 23, starting with an x value of 278, and stepping up by 1. It doesn't take long to scroll through to find instances of the scenario you are seeking.