Question

You are given some expressions below.
1.64*63=5
2. 62*73=8
3. 14*84=1
Analyze them and determine the result of the expression 64*65.​

Answer 1

SOLUTION

TO DETERMINE

You are given some expressions below.

1.64*63=5

2. 62*73=8

3. 14*84=1

Analyze them and determine the result of the expression 64*65.

EVALUATION

First we write down the given expressions The given expressions are

1. 64*63 = 5

2. 62*73 = 8

3. 14*84 = 1

We now analyze them one by one

1. 64*63 = ( 6 + 6 ) - ( 4 + 3 ) = 12 - 7 =5

2. 62*73 = ( 6 + 7 ) - ( 2 + 3 ) = 13 - 5 = 8

3. 14*84 = ( 1 + 8 ) - ( 4 + 4 ) = 9 - 8 = 1

Now we see that

ab*cd = ( a + b ) - ( c + d )

Hence

64*65 = ( 6 + 6 ) - ( 4 + 5 ) = 12 - 9 = 3

FINAL ANSWER

64*65 = 3

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