Answer:
4153
Step-by-step 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 :[tex]\frac{x-3}{10}+3000[/tex]
We are given that the number will decrease by 738.
A.T.Q
[tex]\frac{x-3}{10} + 3000 = x-738[/tex]
[tex]\frac{x-3}{10}= x - 3738[/tex]
[tex]x-3 = 10x - 37380[/tex]
[tex]x = 10x - 37377[/tex]
[tex]-9x = -37377[/tex]
[tex]x = 4153[/tex]
Hence the original 4-digit number is 4153.
