The letters and stand for non-zero digits. The integer is a multiple of the integer is a multiple of and the integer is a multiple of What is the value of the integer
Answer:
- We know that a number is divisible by if it's last digits are divisible by
Given, is a multiple of
Therefore is a multiple of - Also, is given to be a multiple of
Since the sum of the digits of and are the same, is also a multiple of
Therefore, is a multiple of - We are given that is a multiple of and (given).
Now, is a multiple of therefore is a multiple of
sum of digits of is a multiple of
Also, is a multiple of therefore, is a multiple of - The three-digit multiples of starting with which are the possible values of are and
Out of the above possible values of only has as a multiple of - Hence, the value of the integer is