Two numbers have theses properties . both numbers are greater than 6 . their hcf = 6 . their lcm = 60. what are the two numbers

1 answer:

6 0

Let the numbers be x and y.
x*y=HCF*LCM=6*60=360
thus
y=360/x
next we find the list of combinations of x and y and test if they satisfy the conditions above:
(6,60),(12,30),(18,20),(24,15)
out of the above, only (6,60) and (12,30) satisfy both conditions. Thus our answer is:
(6,60) or (12,30)

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Step-by-step explanation:

Given the angle measures and given length of the triangle, we can see that this is a 30-60-90 triangle which means the angle measures are 30°, 60° and 90°. A 30-60-90 triangle has special side lengths as indicated in the diagram below. Since the length given is across from the 30° angle, then x = 9.

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