The unit digit of a three-digit number is two less than the tens digit, and the hundreds digit is three more than the tens digit. What number is it if the total of the digits is 16?

Given:

The unit digit of a three-digit number is two less than the tens digit.

The hundreds digit is three more than the tens digit.

Solution:

Let the tens digit be x.

The unit digit is x - 2

The hundreds digit is x + 3

According to the question, the sum of all three digits is 16.
(x + 3) + x + (x - 2) = 16

x + 3 + x + x - 2 = 16
3x + 1 = 16

3x = 16 - 1

3x = 15

x = 5

Now plug back the value of x:

Tens digit = 5

Unit digit = 5 - 2 = 3

Hundreds digit = 5 + 3 = 8

So, the number is 853

853 number is it if the total of the digits is 16.

Thus, correct option is (d).