If a = 6, Show that Abc = Bac. - Mathematics

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Sum

If a = 6, show that abc = bac.

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Solution

Given: a = b

To show: abc = bac

Proof: 

Let a = b = k     ......(i)

k = any constant value

then LHS = abc

abc = 100a + 10b + c  

From equation (i)

abc = 100(k) + 10k + c

abc = 100k + 10k + c

abc = 110k + c

RHS = bac 
RHS = 100b + 10a + c

From equation(i)
RHS = 100k + 10k + c
RHS = 110k + c

Hence,
LHS = RHS
abc = bac.

Concept: Some Interesting Properties
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Chapter 5: Playing with Numbers - Exercise 5 (A) [Page 55]

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Selina Concise Mathematics Class 8 ICSE
Chapter 5 Playing with Numbers
Exercise 5 (A) | Q 4 | Page 55
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