A number has two digits and the digit at ten’s place is four times the digit at the unit place. If 54 is subtracted from the number, the digits are reversed. What is the original number?
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Step-by-step explanation:
let the two digit no be 10x + y
according to the question:
4x = y
also,
(10x + y ) - 54 = 10y + x
on solving this
9x - 9y = 54
taking 9 common:
9( x-y) = 54
substituting 4x = y
x-4x= 6
-3x = 6
x= -2
y = 8
so the no is 28 or -28
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