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Quantitative Aptitude

Polygons(n>3)

Q. The differ...

Question

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
$x^{2} - y^{2} = 13 10 x + y - 9 = 10 y + x x = y + 1 (y + 1)^{2} - y^{2} = 13 2 y + 1 = 13 y = 6 x = 7$

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