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9. Somil is replacing each alphabet in the given magic box in such a way that the sum of 8 1 A
each row, column, and diagonal should be 15.
B 5 C
He replaces the letters A, B, C, D, and E as follows: D E F

8 1 6
4 5 6
3 9 3

Identify the error he made while solving the magic box. Correct it giving reasons.
10. Junior Sherlock Holmes Rohan was investigating a mathematical case in which he had to reveal
the missing numbers encoded with alphabets. He takes help from a dictionary where he finds
‘crypto’ means hidden or secret. So he named his case title ‘cryptarithmetic’. Help him to solve Case study
the puzzle. Answer the following questions:

(a) Find A, B, and C in (b) Find A, B in
4 2 A 9 A
+ C B 8 – B 3
5 3 1 8 1

(c) Identify the number CAB represents (d) Find the value of A in

A B 2 A
× 5 × A
C A B 1 5 A

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