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The H.C.F. (Highest Common Factor) of two numbers is 6, their L.C.M. (Least Common Multiple) is 84, and one of the numbers is 12. What is the other number?

Answer :

Final answer:

The second number, when the H.C.F is 6, the L.C.M is 84, and one number is 12, equates to 42.

Explanation:

Your question pertains to finding the second number when H.C.F. (Highest Common Factor), L.C.M. (Lowest Common Multiple), and one of the numbers are given. In this case, the H.C.F is 6, L.C.M is 84 and one number is 12.

The product of two numbers equals the product of their H.C.F. and L.C.M. Thus, the other number (let's call it 'b') can be found using the equation: H.C.F. x L.C.M. = first number x second number. So, 6 x 84 = 12 x b. When you calculate this, you get b equals 42. Therefore, the other number is 42.

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