Question 1105442
G = grandfather's age today.
J = jennie's age today.


the sum of their ages is equal to 68.


G + J = 68


solve for G to get G = 68 - J


in 3 years jennie's grandfather will be 6 times as old as jennie was 1 year ago.


G + 3 = 6 * (J - 1)


subtract 3 from this equation to get G = 6 * (J - 1) - 3


distribute the multiplication to get G = 6 * J - 6 - 3


combine like terms to get G = 6 * J - 9


since G = 68 - J, replace G with 68 - J in this equation to get 68 - J = 6 * J - 9


add J to both sides of this equation and add 9 to both side of this equation to get 68 + 9 = 6 * J + J


combine like terms to get 77 = 7 * J


divide both sides of this equation by 7 to get 11 = J.


since G + J = 68 and J = 11, then G + 11 = 68.


solve for G to get G = 68 - 11 = 57


today, the grandfather is 57 and jennie is 11.


3 years from now, the grandfather will be 60.
1 year ago jennie was 10.
3 years from now, the grandfather sill be 6 * as old as jennie was 1 year ago.


the grandfather's age and jennie's age is currently 11 + 57 = 68


all the requirements of the problem have been satisfied, therefore the value of G and J are good.


you were asked what their ages will be 10 years from now.


10 years from now, the grandfather will be 57 + 10 = 67 and jennie will be 11 + 10 = 21.