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Question

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 A 75
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+x18=10x+y
yx=2 ......(1)
Also, x+y=12 .....(2)
Adding equation (1) and (2), we get
x=5 and y=7
Hence, the number is 75.

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