Given a positive integer N. Deleting the last digit of N decreases it by 2021. What is N ?

The value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, .

Given: A positive integer N such that deleting the last digit of N decreases it by 2021

To find: The value of N

Let x be the integer consisting of all digits of N except the last digit and let the last digit of N be d.

Then,

It is given that deleting the last digit  decreases it by 2021

Then,

Substitute in to get,

Since d is a digit, we have,

Substitute in to get,

Then,

and

and

Since x is an integer, the only possibility that satisfies the above inequality is,

Substitute in to get,

Substitute and in to get,

Thus, the value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, .

Learn more about word problems with digits of a number here:

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5