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The digits of a two-digit number …

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The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?

    • Posted by Harini Rajan 5 years, 3 months ago

    CBSE > Class 08 > Mathematics
    • 2 answers

    Jiya Wadhwa 5 years, 3 months ago

    Let the two digit number be xy. The digit of a two digit number differ by 3. Hence, x - y = 3 ...(i) The digit are interchanged and the resulting number is added to the original number we get 143. 10x + y + 10y + x = 143 11x + 11y = 143 x + y = 13 ...(ii) Solving (i) and (ii) we get x = 8 and y = 5 Hence, the original number is 85.

    0Thank You

    Gagandeep Singh 5 years, 3 months ago

    Jgo

    0Thank You

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