Question

In a three-digit number, the hundreds digit is twice the tens digit and half of the units digit. If the numbers are reversed, the new number is 32 less than twice the original number. Find the original number.

Answer 1

A= 8 B=4 C=3

Explanation:

a b c = 100 a + 10 b + c

a = 2 c

reversed c b a = 100 c + 10 b + a
100 a + 10 b + c - 100 c - 10 b - a = 396

99 a - 99 c = 396
but a = 2 c so
198 c - 99 c = 396
99 c = 396
c = 4
then a = 8
so
8 b 4
what if b is 1 ?
is 814 - 418 = 396 ????
yes
what if b is 3?
is 834 - 438 = 396 ???
yes