Math
posted by Rita .
The sum of the digits of a twodigit number is 14. The number formed by reversing the digits is 36 more than the original number. What is the original number?

95
86
77
Which of those numbers meet the other criterion? 
let the 10 digit number be x
let the one digit number be y
x + y = 14 , y= 14  x
original number 10x + y
reversed number 10y + x
equation 10y +x = 10x +y +36
subsitute for y
10(14x) + x = 10x +14  x + 36
140  10x + x = 10x +14  x + 36
x = 5 y = 14  x
y = 14  5 = 9
original number is 10x + y
10(5) + 9 = 59 
let the 10 digit number be x
let the one digit number be y
x + y = 14 , y= 14  x
original number 10x + y
reversed number 10y + x
equation 10y +x = 10x +y +36
subsitute for y
10(14x) + x = 10x +14  x + 36
140  10x + x = 10x +14  x + 36
x = 5 y = 14  x
y = 14  5 = 9
original number is 10x + y
10(5) + 9 = 59
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