If x and y are two-digit prime numbers such that y is obtained from x by interchanging its digits and x – y = 36, then what is the value of xy ? (a) 1611 (b) 2701 (c) 4031 (d) 5603

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Q: 60 (CAPF/2023)
If x and y are two-digit prime numbers such that y is obtained from x by interchanging its digits and x – y = 36, then what is the value of xy ?
(a) 1611
(b) 2701
(c) 4031
(d) 5603

question_subject: 

Mathematics

question_exam: 

CAPF

Prime numbers x and y can be expressed as xy = 10a + b and yx = 10b + a. Given x - y = 36, solving yields the solution x = 73 and y = 37, making their product 2701.