The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Question
The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Solution
To find the other number, we can use the relationship between the H.C.F. (Highest Common Factor), L.C.M. (Least Common Multiple), and the two numbers. This relationship is expressed as:
Number1 * Number2 = H.C.F. * L.C.M.
We know that one of the numbers is 275, the H.C.F. is 11, and the L.C.M. is 7700. We can substitute these values into the equation to find the other number:
275 * Number2 = 11 * 7700
To solve for Number2, we divide both sides of the equation by 275:
Number2 = (11 * 7700) / 275
Number2 = 308
So, the other number is 308.
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