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Question

4+7+2=281435
7+3+9=212781
6+2+7=121456
2+8+5=164036
8+4+6=?????

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Solution

Now let me explain each case one by one.

1st : 4+7+2 = 281435

How here 35 comes:

If we multiply the middle digit 7 by the initial digit 4 and by last digit 2 and add their products and then subtract it by middle digit 7 we get = 35.

We should apply this way of getting last two digits in this priority order if:

Middle digit is greater than initial and last digits.

Middle digit is the odd digit.

Now,

2nd : 7+3+9=212781

Here how 81 comes:

Multiply the middle digit 3 by rest initial digit 7 and by last digit 9 and then again add their product.

We get 48.

Now reverse this no, it becomes (84) and subtracts it by middle no. (3) we get = 81

Now this way of getting last two digits follows this priority order:

All digits must be odd.

The middle digit must be smaller than initial and last digits.

Now, for

3rd : 6+2+7 = 121456

Now, how 56 comes up:

If we multiply the last 7 digit by initial digit 6 and by middle digit 2 and add their products we get = 56.

Now this way of getting last two digits follows these priority order of rules:

Initial and last digit must be greater than the middle digit.

Middle digit must be even.

Now the last case,

4th : 2+8+5 = 1640 36

How 36 comes up:

Multiply the middle digit 8 by initial digit 2 and last digit 5 and then add their product we get 56.

Now, increment the value of initial digit(2) till it becomes 1 less than the last digit.(5)

Now, our initial digit 2 becomes 4 which is one less than last digit 5.

Now, multiply the updated initial digit(4) by 5.

And subtract their product by 56 we get = 36.

Now this way of getting last two digits follows these rules:

The initial digit and last digit must be smaller than the middle one.

The middle digit must even.

Now, here comes our question : 8+4+6 = ?

Observe this question now.

1.The initial digit and last digit is greater than the middle one.

We came to know that this question satisfies case 2nd and 3rd.

Now, we have to apply one more case rule to select the right one.

Now in our question, the middle digit(4) is even.

So, among these two cases.

Our question follows Case 3rd.

Therefore, by applying the way of getting last two digits of case 3rd:

Multiply the last digit 6 by initial digit 8 and by the middle digit 4 and then add their products we get our answer which is = 72.

So, finally

8+4+6 = 3224 72 is the correct answer.

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