Easy Age Problem: 1

Algebra Level 2

A doctor's age 8 years ago is two-thirds his age 13 years hence. How old is he now?


The answer is 50.

Rhiana Vanessa Bag-id Amoin by Rhiana Vanessa Bag-id Am… , 25

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2 solutions

Sidra Ali
Jun 3, 2014

x-8=2/3(x+13)

5 Helpful 0 Interesting 0 Brilliant 0 Confused

please solve further

Chaitnya Shrivastava - 6 years, 11 months ago

x-8=2x+26/3 -->3x-24=2x+26 --->x=60 :D LOL

Red Angel - 6 years, 10 months ago

Let d d be the present age of the doctor. We have

d − 8 = 2 3 ( d + 13 ) d-8=\dfrac{2}{3}(d+13)

cross multiply

3 d − 24 = 2 d + 26 3d-24=2d+26

simplify

d = 50 d=50

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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