Algebrahard · Past Paper
A number consists of two digits. When it is divided by the sum of its digits, the quotient is 6. If 9 is subtracted from the number, the digits are reversed. Find the number.
A54
B45
C63
D36
✓ Correct Answer: A — 54
(10x+y)/(x+y)=6 -> 10x+y=6x+6y -> 4x=5y. (10x+y)-9=10y+x -> 9x-9y=9 -> x-y=1. Solving 4x=5y and x-y=1 gives x=5, y=4. Number is 54.
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