Find a and ST if S is between R and T. RS=7a, ST=12a, RS=28?

Question

Find a and ST if S is between R and T. RS=7a, ST=12a, RS=28?

Answer 1

If I'm reading you correctly...

R > S > T?

RS = 7a

RS = 28

So: 28 = 7a

28/7 = a = 4

Then...

ST = 12a

ST = 12(4) = 48

Find the common factor, S, to solve for R and T. S can't be 'a' because it wouldn't satisfy R > S > T.

A possible solution (judging from the nature of this problem- I think it has many):

Let's see if S = 6, works...

RS = 28

R = 28/6 = 14/3 = 4.66...

ST = 48

T = 48/6 = 8

14/3 < 6 < 8

Does the answer have to be a whole number?

Answer 2

R--7a--S--12a--T

RS=28=7a

a=4

ST=12*a=12*4=48

Answer 3

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(RS=7a) ST=12a, RS=28

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Answer 4

RS=7a=28

a=28/7=4

ST=12a=48