A four-digit number is given. If one digit of the number is omitted and the new number is added to the starting number, we get 1254. Find the starting number.
Answers
1234/12 Dividend = 1234 and Divisor = 12. Split divisor (12) in 2 parts (1 and 2) where division will be carried using ONLY 1(new divisor) and 2 is called as flag. As flag is single digit, Split dividend in 2 parts such that 2nd part will have same number as that of flag i.e. 1 digit
Given:
A four-digit number is given.
If one digit of the number is omitted and the new number is added to the starting number, we get 1254.
To find :
The starting number.
Solution:
Let a b c d be the starting number.
If one digit of the number is omitted and the new number is added to the starting number, we get 1254.
The new number is 0 a b c
a = 1
d + c = 4
c + b = 5
a + b = 2
1 + b = 2
b = 2 - 1
b = 1
c + b = 5
c + 1 = 5
c = 5 - 1
c = 4
d + c = 4
d + 4 = 4
d = 4 - 4
d = 0
The Starting number is 1140
The new number is 0114
If the new number is added to the starting number, we get 1254.
So, 1140 + 114 = 1254
Final answer:
The starting number is 1140.