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, 8 months ago

CBSE > Class 08 > Mathematics

1 answers

Sia ? 6 years, 8 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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Posted by Monika 8B 9 months ago

CBSE > Class 08 > Mathematics