Math, asked by chhoturam72, 8 months ago

One of the two digits of a two digit number is three times the other digit. If you
interchange the digits of this two-digit number and add the resulting number to the
original number, you get 88. What is the original number?​

Answers

Answered by LORDNILE
11

Answer:

X= 2 and Y= 6 or vice verca

Step-by-step explanation:

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Attachments:
Answered by amitkumar44481
65

AnsWer :

62.

To FinD :

The Original number.

SolutioN :

Let,

  • The unit place digit be x.
  • Then, tenth place digit is 3x.

\rule{90}2

Case 1.

Taking Original number.

 \tt  : \implies10 \times (3x) + 1(x)

 \tt  : \implies30x + x.

 \tt  : \implies31x.

\rule{90}2

Case 2.

Taking Reversing number.

 \tt  : \implies 10\times(x) + 1(3x)

 \tt  : \implies 10x + 3x

 \tt  : \implies 13x.

  • If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88.

 \tt  : \implies 13x + 31x = 88

 \tt  : \implies \cancel{44}x = \cancel{88}

 \tt  : \implies x = 2.

\rule{120}2

Now, Let's Find the Original number.

 \tt  : \implies 31x.

 \tt  : \implies 31(2).

 \tt  : \implies 62.

Therefore, the value of the Original number is 62.


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