A number consists of two digits whose sum is 9. If 27 is subtracted from the number its
digits are reversed. Find the number
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let the numbers be in the form
tens. ones
x. y
value is 10x+y
and given x+y = 9
after subtracting 27
tens. ones
y. x
value is 10y+x
=> 10x+y - 27 = 10y+x
=> 9x-9y = 27
=> x-y = 3 ..................(1)
and x+y = 9 ..............(2)
equation (1)+(2) is 2x=12
=> x=6
x+y = 9 => 6+y = 9 => y=3
So, the number is 63
VERIFICATION
63-27 = 36
And 63 reversed to get 36
and 6+3 = 9
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