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Question

In a two digit number unit's digit is 3 more than the ten's digit. The number formed by interchanging the digits and original number the digits and the original number are in the ratio 7 : 4. Find the number .

A
63
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B
36
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C
54
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D
45
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Solution

The correct option is D 36
10's digit 1's digit
xx+3
The number = 10x+x+3=11x+3
Interchanging the digits
10'sdigit 1's digit
x+3x
Then the number =10x+30+x=11x+30
so 11x+3011x+3=74
44x+120=77x+21
33x=99
x=3
The number =36

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