The combined age of three sisters is 74. the eldest sisters age is twelve less than the sum of both sisters age. the middle sister is 5 years older than the youngest. what is the age of each sister?

Step-by-step explanation:

let their ages be x,y,z and x>y>z

x+y+z=74  ...(1)

x=(y+z)-12

or x-y-z=-12   ...(2)

y=z+5   ...(3)

add (1) and (2)

2x=62

x=62/2=31

from (1)

31+y+z=74

y+z=74-31=43  

substitute from (3)

z+5+z=43

2z=43-5=38

z=38/2=19

y=19+5=24

so their ages are 31,24 and 19

(23*2)-12=x     x=34

step-by-step explanation: