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Answer :
Final answer:
The value of X that satisfies the given conditions, where the HCF of 182 and X is 26, and the LCM is 1092, is 156 after applying the formula HCF times LCM = 182 times X, hence the answer is b. 156
Explanation:
The question involves finding the value of X when the Highest Common Factor (HCF) of 182 and X is 26, and the Lowest Common Multiple (LCM) of 182 and X is 1092.
We know that the product of the HCF and LCM of two numbers is equal to the product of the numbers themselves. Therefore, we can use the formula
HCF times LCM = 182 times X. Plugging in the values we have,
26 times 1092 = 182 times X. Simplifying this gives us
28392 = 182X, and solving for X, we get X = 28392/182, which simplifies to X = 156.
Thus, the value of X that satisfies the given conditions is 156.
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