If (x + y) : (x - y) = 15 : 1, then what can be x2 – y2, if x and y – InterviewSolution

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If (x + y) : (x - y) = 15 : 1, then what can be x2 – y2, if x and y are both integers?1). 32). 63). 154). 14

Answer»

$(\because\frac{{{\RM{x\;}} + {\rm{\;y}}}}{{{\rm{x\;}}-{\rm{\;y\;}}}}{\rm{\;}} = \frac{{15}}{1})$

Using the property of compenendo and dividendo:

$(\THEREFORE \frac{{\rm{x}}}{{\rm{y}}} = \frac{8}{7})$

∴ x² – y² = 8² – 7² = 64 – 49 = 15

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