solve the answer in attachment with explanation .
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Answer:
D
Step-by-step explanation:
Given,
Sum of Natural numbers is 85
LCM is 102.
Now going by elimination method,
- Option C cannot be answer as sum (35 + 55) 90 is greater than 85.
So let us look at options A, B and D as their sum is equal to 85 and see if they satisfy the second condition.
Option A:
LCM of 30 and 55
Factors of 30 = 5 * 2 *3
Factors of 55 = 11 * 5.
LCM = 11 * 5 *2 * 3 = 330 > 102.
Hence A is not correct option.
Option B:
LCM of 17 and 68
Factors of 17 = 17 * 1
Factors of 68 = 17 * 2 * 2
LCM = 17 * 2 * 2 * 1 = 68 < 102
Hence B is not correct option.
Option D:
LCM of 51 and 34
Factors of 51 = 17 * 3
Factor of 34 = 17 * 2
LCM = 17 * 2 * 3 = 102
Thus D is the correct answer.
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