Answer : Ages of Nicole , Sheila and Steve will be 6 years , 14 years and 20 years respectively .
Explanation:
We have given that ,
Let Nicole's age be x
Let Sheila's age be 2x+2
Let Steve's age = 5x-10
According to question,
Sum of first two ages will be same as the age of Steve's age
So,
i.e. [tex]x+2x+2=5x-10\\3x+2=5x-2\\12=5x-3x\\12=2x\\6=x[/tex]
∴ The age of Nicole will be 6 years
Sheila's age will be 2x+2 = 2×6+2 = 12+2 = 14 years
Steve's age will be 5x-10 = 5×6-10 = 30-10 = 20 years.