Question: Sarika multiplied 414 by certain number and obtained 69958 as the answer. But she found that there is some error in the answer - both the 9s in the answer are wrong and all the other digits are correct.
Can you find the correct answer?
Answer:
he correct answer is 60858.
If you divide 69958 by 414, you will get 168.98. Hence, assume some three digit number and multiply it by 414 and use 6**58 as the answer.
Assume three digit number such that
* * *
4 1 4
-------------
* * *
* * * 0
* * * 0 0
-------------
6 * * 5 8
It is obvious that the last digit of the assumed number must be 7.
* * 7
4 1 4
-------------
* * 8
* * 7 0
* * 8 0 0
-------------
6 * * 5 8
Now, the second last digit of the assumed number must be 4 or 9. Also, the first digit of the assumed number must be 1 as the first digit of the answer is 6. Using trial and error for above two conditions, the answer is
1 4 7
4 1 4
-------------
5 8 8
1 4 7 0
5 8 8 0 0
-------------
6 0 8 5 8