# Math (Algebra)

posted by Arnau

The ratio of three positive integers is 2:4:5 and their least common multiple is 300. What is the sum of the smallest and the largest of the three numbers?

1. Steve

If the numbers are LCM(2x,4x,5x) = 20x
So, x=15. But 5|15, so use x=3 and the numbers are

30,60,75

30+75 = 105

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