ICSE-VIII-Mathematics
05: Playing with Number Class 8 Maths
- #9If a = c, show that cba- abc = 0Ans : 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.