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The product of the digits of a two-digit number is 18. When 63 is subtracted from the number, its digits are reversed. Find the number.

Competition practiceAlgebra

A92
B29
C63
D36

Step-by-Step Solution

10 a + b - 63 = 10 b + a

gives

a - b = 7

. With

ab = 18 : (b + 7) b = 18, b^{2} + 7 b - 18 = 0, b = 2, a = 9

. The number is 92.

Answer: A) 92

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