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

Solution:

Given, 13 and 31 is a strange pair of numbers.

The squares of 13 and 31 i.e.,169 and 961 are mirror images of each other.

We have to find the other two such pairs.

(i) Let us consider 12 and 21

Square of 12 = (12)² = 144

Square of 21 = (21)² = 441

144 and 441 are mirror images of each other.

(ii) Let us consider 102 and 201

Square of 102 = (102)² = 10404

Square of 201 = (201)² = 40401

10404 and 40401 are mirror images of each other.

Therefore, the required pairs are 12, 21 and 102, 201.

✦ Try This: Find the smallest whole number by which 1008 should be multiplied so as to get a perfect square number.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 142

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

Summary:

13 and 31 is a strange pair of numbers such that their squares 169 and 961 are also mirror images of each other. The other two pairs of numbers are 12,21 and 102,201.

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