Question 142

13 and 31 is a strange pair of numbers, such that their squares 169 and 961 are also a mirror image of each other. Can you find two other such pairs?

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Solution

i) Let a pair of numbers be 12 and 21
Also, $(12)^{2} = 144$ and $(21)^{2} = 441$

ii) Let a pair of numbers be 102 and 201
Also, $(102)^{2} = 10404$ and $(201)^{2} = 40401$

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13 and 31 is a strange pair of numbers such that their square 169 and did 961 are also Mirror image of each other can you find one other such pair

$13$ and $31$ is a strange pair of numbers such that their squares 169 and 961 are also mirror images of each other. Find two more such pairs.

Question 3

The numbers 13 and 31 are prime numbers. Both these numbers have same digits 1 and 3. Find such pairs of prime numbers up to 100.

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