If
A B
× B
9 6
then A = and B = . Fill in the blank to make the statement true

Solution:

If B × B = number with unit digit 6, then

B = 6 or B = 4

If B = 4 then

B × B = 16

Digit ‘1’ carries over

A × 4 + 1 = 9

A = 2

If B = 6 then

B × B = 36

The digit ‘3’ carries over and we have,

A × 6 + 3 = 9

6A = 9 - 3

6A = 6

A = 1

Therefore

A = 2 or 1 and B = 4 or 6 respectively.

✦ Try This: If

A B

× B

C 5

then A = ______ and B = ______ and C = ________

If B × B = number ending with 5 means

B = 5

B × B = 5 × 5 = 25

The

Digit ‘2’ carries over

A × 5 + 2 = C

Since there are two unknowns and one equation one cannot find A or C, but we know that C is a single digit.

The expression A × 5 + 2 can be a single digit if and only if A = 1

Hence we get,

A = 1, B = 5 and C = 7

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

NCERT Exemplar Class 8 Maths Chapter 13 Problem 25

If A B × B = 96, then A = and B = . Fill in the blank to make the statement true

Summary:

If A B × B = 96, then A = 2 or 1 and B = 4 or 6

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