Need Help. Any two digit number can be written as its tens place plus its ones place. For example, 65 = 10x6+1x5 or 91 = 10x9+1xl. In this manner, we can say that
any two digit number can be written as zy, where x is the digit in the tens place
and y is the digit in the ones place. Using the same logic as before, we can say
xy = 10x + y. This gives us an equation in two variables. Using this
a) A two digit number xy is such that if you reverse the digits to get another
two digit number yx and add the two numbers you get 44. Whereas if you
subtract them you get 18. What is the original two digit number you started
with?
b) Bonus: In the above problem, if we change the condition to say that the
sum is 33 while keeping everything the same, can it still be solved? Why or
why not.