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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. - Mathematics

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Sum

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.

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Solution

(13)2 = 169 and (31)2 = 961

Similarly, two such number can be 12 and 21

∴ (12)2 = 144 and (21)2 = 441

And 102, 201

(102)2 = 102 × 102 =  10404

And (201)2 = 201 × 201 = 40401

   102
× 102 
   204
 1020 
10404 

    201
× 201 
  201
4020  
40401 

Concept: Concept of Square Roots
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APPEARS IN

NCERT Mathematics Exemplar Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 142 | Page 97
Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (A) | Q 10 | Page 38
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