Answers

2015-03-26T10:22:17+05:30
Let the number in the tenth's digit be x and the number in one's digit be y. The number thus obtained = 10x + y
On reversing the digits we get : 10y + x

Now, according to the question, we have
(10x + y) - (10y + x) = 36
= 10x - x + y - 10y = 36
= 9x - 9y = 36
= x - y = 4
= x = 4 + y ............ (i)

Next we check the values of the options and check which statement is false.
a) We apply x + y = 6 (x + y is the sum of the digits)
Substituting value of x from (i), we get  :
(4 + y) + y = 6
= 4 + 2y = 6
= 2y = 2
= y = 1 (The value of y can be 1 so the statement is true)

b) We apply x + y = 8
Substituting value of x from (i), we get  :
(4 + y) + y = 8
= 4 + 2y = 8
= 2y = 4
= y = 2 (The value of y can be 2 so this statement is also true)

c) We apply the value x + y = 9
Substituting value of x from (i), we get  :
(4 + y) + y = 9
= 4 + 2y = 9
= 2y = 5
= y = 5/2 (The value of y can never be a fraction so the statement is false)
Therefore the answer is option c) 9

Hope that helps !!
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