Question

translate to system of equation
the sum of the digits of a two digit number is 15.
if he digits are reversed, the new number is 27 less than the original number. find the original number

Answer 1

let t = the tens digit and o = the ones digit

the number is 10t + o

"The sum of the digits is 15":
t + o = 15

"If the digits are reversed, the new number is 27 less than the original number":
10o + t = 10t + o - 27

solve these two equations for t and o

Answer 2

hint....solve the second equation for either t or o and then substitute into the first

Answer 3

thanks @mtbender74