# Math

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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?

• Math -

95
86
77

Which of those numbers meet the other criterion?

• Math -

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

• Math -

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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