SOLUTION: The sum of the ages of Akin and Dop is 35years. The sum of twice Akins age and three times Dop’s age is 89years. Find their present ages.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: The sum of the ages of Akin and Dop is 35years. The sum of twice Akins age and three times Dop’s age is 89years. Find their present ages.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1161920: The sum of the ages of Akin and Dop is 35years. The sum of twice Akins age and three times Dop’s age is
89years. Find their present ages.

Found 2 solutions by greenestamps, Cromlix:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) The sum of the ages of Akin and Dop is 35 years [given]

(2) The sum of twice Akin's age and three times Dop's age is 89 [given]

(3) The sum of twice Akin's age and twice Dop's age is 2*35 = 70 years [from (1)]

(4) Dop's age is 19 [comparing (2) and (3)]

(5) Akin's age is 16 [comparing (1) and (4)]

----------------------------------------------

In formal algebraic terms....

(1) A + D = 35 [given]
(2) 2A+3D = 89 [given]
(3) 2A+2D = 70 [multiply (1) by 2]
(4) D = 19 [subtract (3) from (2)]
(5) A = 16 [subtract (4) from (1)]

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
A + D = 35..........(1)
2A + 3D = 89........(2)
Multiply (1) by 2
2A + 2D = 70........(1)
2A + 3D = 89........(2)
Subtract (1) from (2)
D = 19
Substitute D = 19 into (1)
A + D = 35..........(1)
A + 19 = 35
A = 35 - 19
A = 16
Akin is 16 yrs old
Dop is 19 yrs old.
Hope this helps :-)