A 3 digit number is such that it's unit digit is equal to
the product of the other two digits which are prime. Also,
the difference between it's reverse and itself is 396.
What is the sum of the three digits?
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Answer Posted / guest
The required number is 236 and the sum is 11.
It is given that the first two digits of the required number
are prime numbers i.e. 2, 3, 5 or 7. Note that 1 is neither
prime nor composite. Also, the third digit is the
multiplication of the first two digits. Thus, first two
digits must be either 2 or 3 i.e. 22, 23, 32 or 33 which
means that there are four possible numbers - 224, 236, 326
and 339.
Now, it is also given that - the difference between it's
reverse and itself is 396. Only 236 satisfies this
condition. Hence, the sum of the three digits is 11.
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