Solution -
Let,
The three digits be,
x at hundred's place = 100x
y at tens place = 10y
and,
z at one's place = z
Since,
x + z = 6
and x can't be zero as it is a three-digit number.
So,
x and z can be : (x,z) = (1,5), (5,1), (2,4), (4,2), (3,3), (6,0)
Similarly,
y + z = 5
So,
y and z can be : (y,z) = (0,5), (5,0), (1,4), (4,1), (2,3), (3,2)
Since,
x, y and z are related ,
So,
If we take ,
x = 1, then z = 5
and,
when z = 5, then y = 0
Therefore,
The number becomes 105.
Similarly,
The other numbers are 214, 323, 432, 541 and 650.
So,
The number 432 is divisible by the sum of its digits.
4 + 3 + 2 = 9
also,
432/9 = 48.
Here,
Ten's digit = 3
and
Unit's digit = 2
Therefore,
The ratio of units and tens digit = 2 : 3 .
Hence,
The correct answer is option (b) 2 : 3.
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