A number consists of two digits, the sum of the digits being 12. If 18 is subtracted from the number, the digits are reversed. Find the number.
A
75
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B
45
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C
65
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D
95
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Solution
The correct option is A75 Let the two digits number be 10y+x. where x and y are two digits When number is reversed it becomes 10x+y Sum of two digits =x+y Then, the equations formed are 10y+x−18=10x+y y−x=2 ......(1) Also, x+y=12.....(2) Adding equation (1) and (2), we get x=5 and y=7 Hence, the number is 75.