# Math

posted by Rita

The sum of the digits of a two-digit number is 14. The number formed by reversing the digits is 36 more than the original number. What is the original number?

1. Ms. Sue

95
86
77

Which of those numbers meet the other criterion?

2. Anonymous

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(14-x) + 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

3. ngan

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(14-x) + 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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