Respuesta :
Answer:
Juan's current age = 12
Tim's current age = 8
Step-by-step explanation:
Let x= Juan's current age; x+10=Juan's age in 10 years
Then (1/3)x+4=Tim's current age;
Now we are told that:
x+10=2{(1/3)x+4}+6 eliminate brackets
x+10=(2/3)x+8+6 =(2/3)x+14 multiply both sides by 3
3x+30=2x+42 subtract 30 and 2x from both side s
3x-2x+30-30=2x-2x+42-30 collect like terms
Juan's current age: x=12
Tim's current age: (1/3)x+4=(1/3)*12+4=8
4 years older than 1/3 of Juan's age=(1/3)*12+4=8
8=8
In 10 years, Juan will be 6 years older than twice as old as Tim is now.
12+10=22
2*8+6=22
22=22
Answer: Tim is 8 years old.
Juan is 12 years old
Step-by-step explanation:
Let x represent the present age of Tim.
Let y represent the present age of Juan.
Tim is 4 years older than one-third of Juan's age. This is expressed as
x = y/3 + 4
In 10 years, Juan will be 6 years older than twice as old as Tim is now. This is expressed as
2(x + 10) = (y + 10) + 6
2x + 20 = y + 16
2x - y = 16 - 20
2x - y = - 4
2y/3 + 8 - y = 4
2y + 24 - 3y = 12
2y - 3y = 12 - 24
- y = - 12
y = 12
Substituting y = 12 into x = y/3 + 4, it becomes
12/3 + 4
x = 4 + 4
x = 8
