Question

​A number becomes bigger when we interchange its digits because the digit at the ones place of a two-digit number is three times the tens digit. Also, if we interchange the digit of this two-digit number and add the resulting number to the original number, we get 88. What is the original number?​

Answer 1

Answer:

Step-by-step explanation:

Given :-

ne 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.

To Find :-

The Number

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

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.

The two digit number obtained is 62.

Hence, the two-digit number may be 26 or 62.