Question

two numbers have these properties: both numbers are greater than 6, their highest common factor is 6. their lowest common multiple is 60. find the two numbers.
thank you to anyone that helps me! have a good day :)

Answer 1

$\huge\fbox{Answer ☘}$

given that ,

HCF of two numbers = 6

LCM of two numbers = 60

we know that ,

LCM × HCF = Product of two numbers

therefore ,

60 × 6 = Product of two numbers

360 = Product of the two numbers

$\bold{thus... }\\\bold\blue{ \: \: \: \: \: \: the \: numbers \: can \: be \: either }\\\bold\blue{ \: \: \: \: \: 6 \: and \: 60 \: \: \: \: or \: \: \: 12 \: and \: 30.}$

now the question states that the numbers are greater than 6.

thus ,

the two numbers are 12 and 30

hope helpful~