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One one of the two digit …

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One one of the two digit of a two digit number is three times the other digit if you interchange the digit of this two digit number and add the resulting number to the original number you get 88 with is the original number

    • Posted by Poorva Naralkar 6 years, 5 months ago

    CBSE > Class 08 > Mathematics
    • 1 answers

    Sia ? 6 years, 5 months ago

    Let the digit at unit place be x
    The digit at tens place = 3x
    So, the number is = {tex} = 10 \times 3x + x{/tex}
    = 30x + x
    = 31x
    On interchanging the digits,
    The digit at unit place  = 3x
    and the digit at tens place = x
    Now number = 10x + 3x
    = 13x
    According to the question,
    31x + 13x = 88
    44x = 88
    {tex}x = \frac{{88}}{{44}}{/tex}
    {tex}\therefore x = 2{/tex}
    So, the digit at unit place is 2 and the digit at tens place {tex} = 3 \times 2 = 6{/tex}
    Hence, the original number is 62.

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