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Find the value of the letters in the following question. 8 A B C– A B C 5 D 4 8 8 - Mathematics

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Question

Find the value of the letters in the following question.

   8 A B C
– A B C 5
   D 4 8 8 

Sum

Solution

               8 A B C
Given, – A B C 5
               D 4 8 8 

In the ones column, C – 5 = 8

Obviously, 13 – 5 = 8, so C = 3

In the ten’s column, B – (C + 1) = 8

⇒ B = 8 + C + 1

⇒ B = 8 + 3 + 1

⇒ B = 12 i.e. B = 2

In the hundred’s column, A – (B + 1) = 4

⇒ A = 4 + B + 1

⇒ A = 4 + 2 + 1 = 7

In the thousand’s column, 8 – A = D

⇒ 8 – 7 = D

⇒ D = 1

Hence, A = 7, B = 2, C = 3 and D = 1

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Chapter 13: Playing With Numbers - Exercise [Page 412]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 13 Playing With Numbers
Exercise | Q 60. | Page 412

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