Question

If a > c; show that abc – cba = 99(a – c).

Answer 1

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.