The product of two numbers is 5476. If the HCF of these numbers is 37. The greater number is:Options :A] 107B] 111C] 148D] 185
Question
The product of two numbers is 5476. If the HCF of these numbers is 37. The greater number is:Options :A] 107B] 111C] 148D] 185
Solution
The product of two numbers is given as 5476 and their HCF is 37.
We know that the product of two numbers is equal to the product of their HCF and LCM.
So, let's denote the two numbers as a and b, their HCF as h and their LCM as l.
We have:
a * b = h * l
Given that a * b = 5476 and h = 37, we can substitute these values into the equation to find l:
37 * l = 5476
Solving for l, we get:
l = 5476 / 37 = 148
So, the LCM of the two numbers is 148.
Since the LCM is always greater than or equal to both numbers, the greater number is 148.
So, the correct option is C] 148.
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