If AB × B = 9B, then A = _________, B = _________.

Solution:

If AB × B = 9B then B can be 1 or 6.

If B = 1 then A = 9 because 91 × 1 = 91

However there is another possibility and that is

If B = 6 and A = 1 then we have 16 × 6 = 96

Hence

If AB × B = 9B, then A = 1 or 9, B = 6 or 1 respectively

✦ Try This: If AB × B = 7B, then A = _________, B = _________.

B can take the value of 5 or 6.

But if B = 6 then 76 is not possible

However if B = 5 then 75 is possible because 15 × 5 = 75

Hence A = 1 and B = 5

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

NCERT Exemplar Class 8 Maths Chapter 13 Sample Problem 7

If AB × B = 9B, then A = _________, B = _________.

Summary:

If AB × B = 9B, then A = 1 or 9, B = 6 or 1 respectively

☛ Related Questions:

• If 5 A + 25 is equal to B 2, then the value of A + B is (a) 15 (b) 10 (c) 8 (d) 7
• The number ab - ba where a and b are digits and a > b is divisible by ________.
• When written in usual form 100a + 10c + 9 is equal to ________.