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Question

Using the given pattern, find the missing numbers:
12+22+22=32
22+32+62=72
32+42+122=132
42+52+ ___ =212
52+ ___ +302=312
62+72+ ___ = ____

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Solution

12+22+22=32
22+32+62=72
32+42+122=132
42+52+202=212
52+62+302=312
62+72+422=432
We got 20 because 23=6,34=12, similarly, 45=20
we got 6 because 23=6,34=12,45=20 similarly, 56=30
we got 42 because 23=6,34=12,45=20,56=30 similarly , 67=42
we got 43 because the answer is the number after the last number in the question
As, after 2 it is 3, after 6 it is 7, after 12 it is 13, similarly, after 42 it is 43.

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