SOLUTION: James is 19 times as old as Bill. Frank is 30 Years younger than James. In 6 Years James' age will be twice the sum of bill and Frank's ages then. How old is James? I'm getting

Question 565512: James is 19 times as old as Bill. Frank is 30 Years younger than James. In 6 Years James' age will be twice the sum of bill and Frank's ages then. How old is James?
I'm getting a funny answer and would like to consult
Found 3 solutions by Leaf W., scott8148, josmiceli:
Answer by Leaf W.(135)   (Show Source): You can put this solution on YOUR website!
Bill: x
James: 19x
Frank: 19x - 30
Bill's age in six years: x + 6
James's age in six years: 19x + 6
Frank's age in six years: 19x - 24
Since James's age in six years will be twice the sum of Bill's and Frank's ages then, your equation is 19x + 6 = 2(x + 6 + 19x - 24)
Add like terms: 19x + 6 = 2(20x - 18)
Distribute the 2: 19x + 6 = 40x - 36
Add 36 to both sides: 19x + 42 = 40x
Subtract 19x from both sides: 42 = 21x
Divide both sides by 21: 2 = x
Therefore, Bill's is two years old. Plug this value into the expression for James's age, 19x.
19x = 19(2) = 38
***THEREFORE, JAMES IS 38 YEARS OLD.***
Hope I helped! =)
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
"James is 19 times as old as Bill" ___ J = 19B ___ J / 19 = B

"Frank is 30 Years younger than James" ___ F = J - 30

"In 6 Years James' age will be twice the sum of bill and Frank's ages then" ___ J + 6 = 2(F + 6 + B + 6)

substituting ___ J + 6 = 2[(J - 30) + 6 + (J / 19) + 6]

J + 6 = 2J - 60 + 12 + (2J / 19) + 12 ___ 42 = J + (2J / 19) ___ 42 = 21J / 19 ___ 38 = J
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = James age now
Let = Bill's age now
Let = Frank's age now
given:
(1)
(2)
(3)
--------------------------
This is 3 equations and 3 unknowns, so
it should be solvable
(3)
(3)
(3)
(3)
--------------------
(1)
Substitute (1) and (2) into (3)
(3)
(3)
(3)
Multiply both sides by
(3)
(3)
(3)
and
(1)
(1)
(1)
and
(2)
(2)
(2)
James is 38, Bill is 2, and Frank is 8
check:
(3)
(3)
(3)
(3)
OK
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