Question

Two numbers have these properties.

Answer 1

With an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

What are mathematical operations?

• An operation in mathematics is a function that takes zero or more input values and produces a well-defined output value.
• The operation's arity is determined by the number of operands.
• Similar to the principle of superposition denotes a mathematical operation (e.g., differentiation, multiplication by a constant) in which the action on the sum of two functions is the sum of the action on each function.

Two numbers with HCF 6 can be:

6a, 6b where a, b are coprime numbers a, b > 1 as numbers greater than 6.

• => 6 × 60 = 6a × 6b
• => 10 = ab
• ab = 10
• 10 = 1 × 10  = 2 × 5
• a , b > 1  

As a result, a and b can be 2 or 5.

The numbers are 6 × 2 and 6 × 5.

Therefore, with an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

Know more about mathematical operations here:

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