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Solve Each of the Following Cryptarithm: a B +3 7 9 a - Mathematics

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Question

Solve each of the following Cryptarithm:

 A B
+3 7
9 A
Sum

Solution

Two possibilities of A are:
\[(i)\text{ If }B + 7 \leq 9, A = 6\]
\[\text{ But clearly, if }A = 6, B + 7 \geq 9;\text{ it is impossible }\]
\[(ii)\text{ If }B + 7 \geq 9, A = 5\text{ and }B + 7 = 5 \]
\[\text{ Clearly, }B = 8\]
\[ \therefore A = 5, B = 8\]

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Chapter 5: Playing with Numbers - Exercise 5.3 [Page 30]

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RD Sharma Mathematics [English] Class 8
Chapter 5 Playing with Numbers
Exercise 5.3 | Q 2 | Page 30

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