Question

The LCM of 2 numbers is 130, the HCF of the same 2 numbers is 13, both numbers are under 100, write down 2 possible answers. please help :)

Answer 1

Answer:

(130, 13) and (65,26)

Step-by-step explanation:

Answer 2

The LCM represents the least common multiple while the HCF represents the highest common factor. The two numbers under 100 that have HCF of 13 and LCM of 130 are 65 and 26.

Given that:

$LCM = 130$

$HCF = 13$

Let the two numbers be x and y.

The relationship between x, y, the LCM and the HCF are:

$x \times y = LCM \times HCF$

This gives:

$x \times y = 130 \times 13$

$x \times y = 1690$

This means that the product of the two numbers must be 1690.

A possible product of numbers under 100 that gives 1690 is:

$65 \times 26 = 1690$

Hence, the two numbers are: 65 and 26

Read more about HCF and LCM at:

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