Question

if a>c show that abc-cba=99(a-c)​

Answer 1

Answer:

Given, a > c To show : abc – cba = 99(a – c) Proof: abc = 100a + 10b + c ……….(i) (By using property 3) cba = 100c + 10b + a ………..(ii) (By using property 3) Subtracting, equation (ii) from (i), we get abc – cba = 100a + c – 100c – a abc – cba = 99a – 99c abc – cba = 99(a – c) Hence proved.Read more on Sarthaks.com - https://www.sarthaks.com/158701/if-a-c-show-that-abc-cba-99-a-c

Answer 2

Answer:

Given, a > c To show : abc – cba = 99(a – c)

Proof: abc = 100a + 10b + c ……….(i)

(By using property

3) cba = 100c + 10b + a ………..(ii)

(By using property

3) Subtracting, equation (ii) from (i), we get

abc – cba = 100a + c – 100c – a abc – cba

= 99a – 99c abc – cba = 99(a – c) Hence proved.