Question

In four years, Phil will be half Tim’s age. Two years ago, Tim was five times Phil’s age. How old is Phil now? (Enter the age numerically)

Answer 1

Answer:

Phil is 4 and Tim is 12.

Step-by-step explanation:

Let P = Phil’s age now. Let T = Tim’s age now.

1st statement says:

Phil’s age in 4 years will be half Tim’s age in 4 years: P + 4 = (1/2)(T + 4)

2nd statement says:

Tim’s age 2 years ago was five times Phil’s age 2 years ago: T - 2 = 5 (P - 2)

Solve the second equation for T and substitute into the first equation

T = 5P - 10 + 2 = 5P - 8

Substituting 5P - 8 for T in the first equation : P + 4 = (1/2) (5P - 8 + 4)

P + 4 = (1/2) (5P- 4)

Multiply both sides by 2 and solve for P

2P + 8 = 5P - 4

3P = 12

P = 4

Substituting into T = 5P - 8, we get T = 5(4) - 8 = 12

Phil is 4 and Tim is 12.

Answer 2

Answer:

phil's age is 1 yrs..

Step-by-step explanation:

let phil's age be x

after four years = x+4

let tim's age be y

after 4 years= y+4

x+4 = 1/2(y+4)

x+4 = y+4/2

2x+8 = y+4

2x-y = -8+4

2x-y = -4.......(1)

2 years ago

phil = x-2

tim = y-2

5(x-2) = y-2

5x-1 = y-2

5x-y = -2+1

5x-y = -1

x = y-1/5........(2)

sub (2) in (1)

2(y-1/5)-y = -4

2y-2/5-y = -4

lcm = 5

2y-2-5y/5 = -4

-3y-2 = -4×5

-3y-2 = -20

-3y = -18

y = 6

Tim's age = 6//

phil's age = 2x-y = -4

                   2x-6 = -4

                   2x= 2

                     x = 1//

phil's age = 1

hope it helps..

pls mark as brainliest....

thank you...