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

phil 4,tim 12 their present ages

Answer 2

Answer:

phil's present age is 4 years

Step-by-step explanation:

Let the tim's age be x

Let phil's age be y

Tim's age after 4 years =x+4

Phil's age after 4 yeras = y+4

Since we are given that In four years, phil will be half tim's age

$y+4=\frac{1}{2}(x+4)$

$2y+8=x+4$

$x-2y-4=0$   --1

Tim's age two years ago = x-2

Phil's age two years ago = y-2

Since we are given that two years ago, tim was five times phil's age:

$x-2=5(y-2)$

$x-2=5y-10$

$x-5y+8=0/tex]  -2</p><p>Solve 1 and 2 </p><p>Substitute the value of x from 1 in 2 </p><p>[tex]4+2y-5y+8=0/tex] </p><p>[tex]12=3y/tex] </p><p>[tex]4=y/tex] </p><p>Substitute the value of y in 1 to get value of x</p><p>[tex]x-2(4)-4=0$

$x-8-4=0$

$x=12$

Hence the phil's present age is 4 years