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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