Answer:
4153
Step-by-step explanation:
Given:
A 4-digit number ends in 3
Let the number be xyz3
Also,
If you put the number 3 in the first position, the number will decrease by 738 i.e.
new number 3xyz is 738 less than xyz3
xyz3-
3xyz=738
Now from above we can see that a number z when subtracted from 13(from rule of lending in subtraction as 8 is greater than 3) results in 8,
13-z=8
z=13-8
z=5
Then z-y=3, we have z=5 but from previous calculation 1 is lend to 3 so now z is reduced to 4 hence 4-y=3
y=4-3
y=1
then y-x=7, we have y=1 so when a number x when subtracted from 11(from rule of lending in subtraction as 7 is greater than 1) results in 7,
11-x=7
x=11-7
x=4
hence we have now values of x,y and z putting the values in original number we get
4153
and new number is 3415 then
Now 4153-3415=738 !
