If B × B = AB, then either A = 2, B = 5 or A = , B = .Fill in the blank to make the statement true.

Solution:

If B × B = AB implies

That when B is multiplied with itself it ends in a number which is B itself.

Therefore

B = 5 or 6

If B = 5 then

5 × 5 = 25

A = 2 and B = 5

If B = 6 then

6 × 6 = 36

A = 3 and B = 6

✦ Try This: B × A = BA, then A = ____ , B = _____ or A = ______ , B = _______ or A = ______, B = _______.

When a number B multiplied by A gives a number ending in A then,

B can be a number 3 or 5 or 7 while A is 5

If A = 5 then B = 3 or 5 or 7

If B = 3 and A = 5 then

B × A = 3 × 5 = 15

If B =5 and A = 5 then

B × A = 5 × 5 = 25

If B = 7 and A = 5 then

B × A = 7 × 5 = 35

Therefore A = 5 and B = 3 or 5 or 7

The number when multiplied with gives a number ending

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16

NCERT Exemplar Class 8 Maths Chapter 13 Problem 32

Summary:

If B × B = AB, then either A = 2, B = 5 or A = 3, B = 6

☛ Related Questions:

If B × B = AB, then either A = 2, B = 5 or A = ______, B = ______.Fill in the blank to make the statement true.