Question

A number consist of two digits whose sum is 9.if 27is subtracted from the number, its digits are reversed. Find the number.

Answer 1

Let the no be 10x+y such that x is the digit at tens place and y is the digit at ones place

According to the given conditions,

x + y = 9.........(i)

10x+y-27=10y+x
= 9x-9y=27
= x-y=3.........(ii)

Solving (i) and (ii) by elimination method,

x+y=9
x-y=3
..........
2x  = 12
x = 6

Substituting (x = 6) in equation (i)

x + y = 9
6 + y = 9

Then, y = 3

Therefore number is 10x+y = 10*6+3
=63

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Answer 2

Answer:

Let the no be 10x+y such that x is the digit at tens place and y is the digit at ones place

According to the given conditions,

x + y = 9.........(i)

10x+y-27=10y+x

= 9x-9y=27

= x-y=3.........(ii)

Solving (i) and (ii) by elimination method,

x+y=9

x-y=3

..........

2x  = 12

x = 6

Substituting (x = 6) in equation (i)

x + y = 9

6 + y = 9

Then, y = 3

Therefore number is 10x+y = 10*6+3

=63

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