Question

A 4-digit number ends in 3. If you put the number 3 in the first position, the number will decrease by 738. Find the original 4-digit number?

Answer 1

4153

Explanation:

(x-3)/10 + 3000 = x-73

(x-3)/10 = x - 3738

x-3 = 10x - 37380

x = 10x - 37377

-9x = -37377

x = 4153

: P

Answer 2

4153

Explanation:

Let the original number be x

First, you subtract 3 from the original number. This removes 3 from the last digit, but leaves a zero there.

Now to remove the zero, you divide by 10.

Finally, to put the 3 at the first position, you add 3000.

Now Moving the last digit, 3, to the first position the number becomes :
`(x-3)/(10)+3000`

We are given that the number will decrease by 738.

A.T.Q

`(x-3)/(10) + 3000 = x-738`

`(x-3)/(10)= x - 3738`

`x-3 = 10x - 37380`

`x = 10x - 37377`

`-9x = -37377`

`x = 4153`

Hence the original 4-digit number is 4153.