SOLUTION: My father is 12 years more than twice my age. In 16 years, my father’s age will be 30 years less than three times my age. Find my age and my father’s age

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: My father is 12 years more than twice my age. In 16 years, my father’s age will be 30 years less than three times my age. Find my age and my father’s age       Log On


   

Question 1188913: My father is 12 years more than twice my age. In 16 years, my father’s age will be 30
years less than three times my age. Find my age and my father’s age
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) define a variable

let x = your age (now)

(2) use that variable to define expressions for the other numbers in the problem (your age 16 years from now; and your father's age now, and 16 years from now)

2x+12 = your father's age now

x+16 = your age 16 years from now
(2x+12)+16 = 2x+28 = your father's age 16 years from now

(3) Use those expressions to write an equation using the given information

"In 16 years, my father’s age will be 30 years less than three times my age."

Rewrite that to put it exactly in terms of the expressions you have defined:

My father's age 16 years from now will be (is) 30 less than three times my age then (16 years from now):

2x+28 = 3(x+16)-30

(4) solve using basic algebra

I leave that to you....