Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding One-third the length of the directed line segment? The ratio given is part to whole, but fractions compare part to part. The ratio given is part to part. The total number of parts in the whole is 3 – 1 = 2. The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4. The ratio given is part to whole, but the associated fraction is One-third.

Okay so n is going to represent our first number. since the second number of five times greater than n, the second number will be represented as 5n. for us to figure out the two  numbers we need to have  the value of n first. this is going to be done by adding the two numbers together, n and 5n. it can be simplified as 6n, which the problem states is equal to 72. divide 72 by 6n and you can solve for n.  n+5n=726n=72n=(72/6)n=12  now that we know the value of n, we have to multiply 5 times 12 which equals 60. so our two numbers/integers are 12 and 60

It might be "an artistic taste"  hope i !