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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता १०

When the positive integers a, b and c are divided by 13, the respective remainders are 9, 7 and 10. Show that a + b + c is divisible by 13 - Mathematics

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प्रश्न

When the positive integers a, b and c are divided by 13, the respective remainders are 9, 7 and 10. Show that a + b + c is divisible by 13

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उत्तर

Let the positive integers be a, b, and c.

a = 13q + 9

b = 13q + 7

c = 13q + 10

a + b + c = 13q + 9 + 13q + 7 + 13q + 10

= 39q + 26

= 13(3q + 2)

which is divisible by 13.

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पाठ 2: Numbers and Sequences - Exercise 2.1 [पृष्ठ ४३]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 2 Numbers and Sequences
Exercise 2.1 | Q 4 | पृष्ठ ४३
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