l is between t and c. if tl=x+7, lc=2x-3, and tc=25, find tl and lc.

??????? .....I thought this question was referring to line segments......(I don't know.....maybe other interpretations are possible.....)

tl = 14 ..... lc = 11 .......tl + lc = 14 + 11  = 25

tl=x+7, lc=2x-3, and tc=25, find tl and lc.

So we have

(x + 7) + (2x - 3) = 25     combine like terms

3x + 4 = 25     subtract 4 from both sides

3x = 21           dviide both sides by 3

x = 7

So..... tl = (7) + 7 = 14      ....and.......lc = 2(7) - 3 = 14 - 3 = 11

I don't know why CPhill assumed that tl + lc = tc; in fact, under this assumption, x = 7, but 

t reduces to √(350/11) ≈ 5.14

c reduces to (25√11)/√350 ≈ 4.432

l reduces to (11·√350)/(25·√11) ≈ 2.48

so l isn't between t and c.

Unfortunately, I don't know a possible answer.

Sorry, I didn't see that they could represent line segments, I thought that they represented products.

I htink that you are completely correct.