Question

one of the two digits of a two digit number is the three times the other digit .if you interchange the digits of this two digit number and add the resulting number two the original number you get 88. what is the original number.​

Answer 1

Answer:

Let the digit in units place = x

The digit in tens place = 3x

The number is 10(3x) + x = 31x

Digits are interchanged

Digit in units place = 3x

Digit in tens place = x

The new number= 10(x) + 3x = 13x

Sum of these two numbers = 88

31x + 13x = 88

44x = 88

x = 2

3x = 6

The original number is 62.

Answer 2

$\huge\Large\underline\mathtt\pink{Step-by-step explanation:-}$

$\huge\Large\underline\mathtt\pink{Given :-}$

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.

$\huge\Large\underline\mathtt\pink{Find :-}$

The Number

$\huge\Large\underline\mathtt\pink{Solution:-}$

Let the digits at tens place be x.

And ones place be 3x .

Original Number = 10x + 3x = 13x

Number after interchanging = 10 × 3x + x = 30x + x = 31x

$\huge\Large\underline\mathtt\pink{According to the Question,:-}$

⇒ Original number + New number = 88

⇒ 13x + 31x = 88

⇒ 44x = 88

⇒ x = 88/44

⇒ x = 2

Original Number = 13x = 13 × 2 = 26

Therefore, by considering the tens place and ones place as 3x and x.

Therefore, by considering the tens place and ones place as 3x and x.The two digit number obtained is 62.

Therefore, by considering the tens place and ones place as 3x and x.The two digit number obtained is 62.Hence, the two-digit number may be 26 or 62.

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