even subtraction can judge your maths
Number Theory
Level
2
A three digit number has, from left to right, the digits 'a', 'b' and 'c' with 'a'>'c'. When the number with the digits reversed is subtracted from the original number, the unit's digit is the difference is 4. The next two digits, from right to left, are?
5 and 4
5 and 9
9 and 5
4 and 5
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1 solution
Given info. : abc - cba = yx4 and a>c.
we get,
from digits place : (10+c) - a = 4. => a - c = 6. (a>c, so we need to carry 1).
from 10s place: (10+b) - (b+1) = x. => x = 9.
from 100s place: a - (c+1) = y. => y = 5.
so ans is 9 & 5.