Question 565512
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! =)