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Q. The difference of the squares of the digits constituting a positive two-digit number is 13. If we subtract 9 from that number, we shall get a number written by the same digits in the reverse order. Find the number.


A
56
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B
65
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C
76
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D
87
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Solution

The correct option is C 76
x2y2=1310x+y9=10y+xx=y+1(y+1)2y2=132y+1=13y=6x=7

All India Test Series

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