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A number has two digits. The digit at tens place is four times the digit at units 11/4 place. If 54 is subtracted from the number, the digits are reversed. Find the original and new number.
This question is from Linear equations in one variable.
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the number will be 10x+y
4x=y
and
(10x+y)-54=10y+x
therefore
9x-9y=54
=
9(x-y)=54
x-4x=6(substituting 4x=y)
-3x=6
x=(-2)
y = 8
the number is 28
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