Replace A, B, C by suitable numerals

1.	Replace A, B, C by suitable numerals
Answer» Here, B×A= A i.e. A=1 Now first digit (B+1) Where 1 can be carried from 1+B² and becomes (B+1)(B²-9)B ∴ C= B²-1 Now B, B+1 and B²-9 are one single digit This condition is satisfied for B=3 or B=4 For B<3, B²-9 is negative For B >3, B²-9 will become two digit number For B=3, C= 3²– 9 = 9-9 = 0 For B=4, C= 4²-9 = 16-9 = 7 ∴ A=1, B= 3, C= 0 A=1, B=4, C=7

Answer»

Here, B×A= A i.e. A=1

Now first digit (B+1)

Where 1 can be carried from 1+B² and becomes (B+1)(B²-9)B

∴ C= B²-1

Now B, B+1 and B²-9 are one single digit

This condition is satisfied for B=3 or B=4

For B<3, B²-9 is negative

For B >3, B²-9 will become two digit number

For B=3, C= 3²– 9 = 9-9 = 0

For B=4, C= 4²-9 = 16-9 = 7

∴ A=1, B= 3, C= 0

A=1, B=4, C=7

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