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If a = C, Show that Cba – Abc = 0. - Mathematics

Sum

If a = c, show that cba – abc = 0.

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Solution

Given: a = c

To show: cba – abc = 0

Proof:

cba = 100c + 106 + a …………(i)
(By using property 3)

abc = 100a + 106 + c …………(ii)
(By using property 3)

Since, a = c,

Substitute the value of a = c in equation (i) and (ii), we get

cba = 100c + 10b + c ……….(iii)

abc = 100c + 10b + c …………(iv)

Subtracting (iv) from (iii), we get

cba – abc – 100c + 106 + c – 100c – 106 – c

⇒ cba – abc = 0

⇒ cba = abc

Hence proved.

Concept: Some Interesting Properties
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 5 Playing with Numbers
Exercise 5 (A) | Q 9 | Page 55
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