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Letters for Digits

Question 25In...

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Question 25

In the given question, fill in the blanks to make the statement true.

If $A B \times B__________96$ , then A = _ and B = ___ .

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Solution

2, 4 or 1 , 6
We have $A B \times B____________96$
Here $B \times B = 6$ , therefore B can take values either 4 or 6.
For B = 4, $A \times B + 1 = 9 \Rightarrow A \times 4 + 1 = 9 \Rightarrow A = 2 H e n c e, A = 2, B = 4$
For B = 6, (carry will be 3) $A \times B + 3 = 9 \Rightarrow A \times 6 + 3 = 9 \Rightarrow A = 1 H e n c e, A = 1, B = 6$

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Letters for Digits

Standard VIII Mathematics

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