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प्रश्न
Show that 954 – 459 is exactly divisible by 99.
बेरीज
उत्तर
To show: 954 – 459 is exactly divisible by 3 99, where a = 9, b = 5, c = 4
abc = 100a + 10b + c
⇒ 954 = 100 x 9 + 10 x 5 + 4
⇒ 954 = 900 + 50 + 4 ………(i)
and 459 = 100 x 4+ 10 x 5 + 9
⇒ 459 = 400 + 50 + 9 ……..(ii)
Subtracting (ii) from (i), we get
954 – 459 = 900 + 50 + 4 – 400 – 50 – 9
⇒ 954 – 459 = 500 – 5
⇒ 954 – 459 = 495
⇒ 954 – 459 = 99 x 5
Hence, 954 – 459 is exactly divisible by 99
Hence proved.
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