The sum of three numbers is 24. The third is 11 less than 2 times the second. 9 times the first is 7 more than 2 times the second. Find the numbers.

Answer 1

T = 2S -11

9F = 7+ 2S

F = (7+2S)/9

F+S + T = 2

(7+2S)/9 + S + 2S-11 = 24

multiply by 9

7+2S + 9S + 18S -99 = 216

29S = 216 +99-7 = 308

S = 308/29 = about 10.6

F= (7+2S)/9 = (7+616/29)/9 = (203+616)/29(9) = 819/261=about 3.1

T = 2S -11 = 21.2 - 11 = about 10.2

F+S+T =3.1+10.6 +10.2 = about 23.9= about 24

S =308/29, T=616/29 - 319/29 = 297/29, F =(696-297-308)/29= 91/29

F = 91/29, S= 308/29, T = 297/29

F= 3.138, S= 10.621, T= 10.241

3.138 + 10.621 + 10.241 = about 24.000