A two-digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the original number.
Class 10Word Problems on Linear PairsAlgebra — Systems of Equations
A92
B29
C36
D63
Step-by-Step Solution
(10x+y)−63=10y+x gives 9x−9y=63,x−y=7.xy=18:x=9,y=2 satisfies 9-2=7 and 9×2=18. Number 92.
Answer: A) 92
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