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Given :
- ➻ If the HCF of 65 and 117 is expressible in the form 65m − 117, then the value of m is :
❏ 1
❏ 2
❏ 3
❏ 4
Find :
- ➻ Value of m.
Solution :
- ➣ 65 = 5 × 13
- ➣ 117 = 3 × 3 × 13
Therefore,
- ➯ HCF of 65 and 117 is 13.
So,
- ➝ 65m − 117 = 13
Or,
- ➝ 65m = 130
Therefore,
- ➝ m = 2
❖Hence,
- The Value of M is 2.
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Answered by
14
Answer:
Given :
➻ If the HCF of 65 and 117 is expressible in the form 65m − 117, then the value of m is :
❏ 1
❏ 2
❏ 3
❏ 4
Find :
➻ Value of m.
Solution :
➣ 65 = 5 × 13
➣ 117 = 3 × 3 × 13
Therefore,
➯ HCF of 65 and 117 is 13.
So,
➝ 65m − 117 = 13
Or,
➝ 65m = 130
Therefore,
➝ m = 2
❖Hence,
The Value of M is 2.
━━━━━━━━━━━━━━━━━━━━━━━━━━
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