Answer:
Step-by-step explanation:
Let the age of Juan be x
Let the age of Gabe be y
Let the age of catherine be z
The sum of their ages is 149, then;
x+y+z = 149
If Juan is three times as old as Gabe, then;
x = 3y .....2
If Gabe is six years older than Catherine, then;
y = z + 6
z = y-6 ....3
Substitute 2 and 3 into 1;
From 1; x+y+z = 149
3y+y+y-6 = 149
5y = 149+6
5y = 155
y = 31
Since x = 3y
x = 3*31
x = 93
If z = y-6
z = 31-6
z = 25
Hence Juan is 93 years old
Gabe is 31 years old
Catherine is 25 years old
