Michael is 2 years older than his friend Jason. 16 years ago, Jason was half of Michael's age. how old is Jason now?

Question

asked Oct 7, 2022 188k views

1 Answer

Todd · Answer 1 · 2022-10-13T02:29:14+0000

Answer:

The present age of Jason is
years.

Explanation:

Let the present age of Jason be
years.

Michael is
years older than Jason.

So, the present age of Michael be
x+2 years.

years ago,

Jason's age
=x-16 years.

Michael' age
=x+2-16=x-14 years.

According to the question,
years ago, Jason was half of Michael's age.

So,
x-16=(1)/(2)(x-14)

$\Rightarrow 2\left ( x-16 \right )=(x-14)$

$\Rightarrow 2x-32=x-14$

$\Rightarrow 2x-x=-14+32$

$\Rightarrow x=18$

Hence, the present age of Jason is
years.