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ICSE-VIII-Mathematics

05: Playing with Number Class 8 Maths

with Solutions - page 2
Qstn# A-7 Prvs-QstnNext-Qstn
  • #7
    if a > c; show that abc - cba = 99(a - c).
    Ans : Given, a > c
    To show : abc - cba = 99(a - c)
    Proof:abc = 100a + 10b + c ...(i)
    (By using property 3)
    cba = 100c + 10b + a ...(i)
    (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.