SOLUTION: In three (3) years from now, Jenny�s grandfather will be six (6) times as old as Jenny was last year. Presently, the sum of Jenny�s age and her grandfather�s age is 68. How old wi

Question 1105442: In three (3) years from now, Jenny�s grandfather will be six (6) times as old as Jenny was last
year. Presently, the sum of Jenny�s age and her grandfather�s age is 68. How old will Jenny and her grandfather be ten (10) years from now?

Write an Algorithm for the above question.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

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