In a two-digit number, the tens digit is 5 less than the units digit. The number itself is five more than three times the sum of its digits. What is the number?

Given:

In a two-digit number, the tens digit is 5 less than the units digit.

The number itself is five more than three times the sum of its digits.

To find:

The number.

Solution:

Let the two digit number is ab. So,

Tens digit is 5 less than the units digit.

      ...(i)

The number itself is five more than three times the sum of its digits.

         ...(ii)

Using (i) and (ii), we get

Putting b=8 in (i), we get

Therefore, the required number is 38.