Jon is 14 years older than Philip.Two years from now,Jon will be 3 times as old as Philip.How old is each now?

Mathematics

1 answer:

DanielleElmas [232]3 years ago

7 0

Philip is 5 years old and Jon is 19 years old now.

Step-by-step explanation:

Step 1 :

Let x be the age of Philip Now

Since Jon is 14 years older than Philip,

Age of Jon = 14 + x

Step 2 :

After 2 years,

Age of Philip = x+ 2

Age of Jon = 14+x+2 = 16+x

Step 3 :

Given that in 2 years, Jon will be 3 times as old as Philip.

So we have 16 + x =3(x+2)

=> 16 + x = 3x +6

=> 2x = 10 = x = 5

Hence age of Philip is 5 years

Age of jon = x + 14 = 5+ 14 =19 years

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