Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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If the H.C.F of 65 and 117 is expressible in the form of 65m – 117, then the value of m is - Mathematics

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MCQ

If the H.C.F of 65 and 117 is expressible in the form of 65m – 117, then the value of m is

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Solution

2

Explanation;

Hint:

H.C.F of 65 and 117

117 = 65 × 1 + 52

65 = 52 × 1 + 13

52 = 13 × 4 + 0

∴ 13 is the H.C.F. of 65 and 117.

65m – 117 = 65 × 2 – 117

130 – 117 = 13

∴ m = 2

Concept: Euclid’s Division Algorithm
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APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 10th SSLC Mathematics Answers Guide
Chapter 2 Numbers and Sequences
Exercise 2.10 | Q 3 | Page 82
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