10 43 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.
Answers
The pair is 12 and 21 the square of 12 is 144 and the square of 21 is 441
Answer:
Step-by-step explanation:
13² = 169,
31² = 961
mirror images are formed in a 2 digit number's square ,
when the number's square has same number of digits,
The difference between them should be low,(less than 10),
The ones digit must less than 4.
E.g.,
12² = 144 , 21² = 441,
13² = 169 , 31² = 961,.
__
10² = 100, 01² = 001,
100² = 10000, 001² = 00001 ,..
...
20² = 400, 02² = 004
200² = 40000, 002² = 00004,..
...
03² = 009 , 30² = 900,.
....
Til, 09
...
11² = 121, 11² = 121,
22² = 484 , 22² = 484,
33² = 1089 , 33² = 1089,.
...
99² = 9801 , 99² = 9801,.
Eg : 14² = 196 (3 digits) , 41² = 1681 (4 digits) ,
196 = 691 ⇒ 169 = 16(8+1) = 1681,.
so not all numbers are showing such strange pair,.