Question 40

In a certain code language, '15-78-25-36' is written as ‘28-154-48-70’. What will be the code for ‘23-63-42-81’ in that code language?

Solution

Double of each number is subtracted by 2 to obtain the respective number.

15 78 25 36 ==> $$(15\times2-2) (78\times2-2) (25\times2-2) (36\times2-2)$$ = (30-2) (156-2) (50-2) (72-2) = 28 154 48 70

23 63 42 81 ==> $$(23\times2-2) (63\times2-2) (42\times2-2) (81\times2-2)$$ = (46-2) (126-2) (84-2) (162-2) = 44 124 82 160

So the answer is 44-124-82-160.


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