SOLUTION: June‘s father is six times as old as June the sum of their ages is no less than 77 what is the youngest age June can be

Algebra ->  Inequalities -> SOLUTION: June‘s father is six times as old as June the sum of their ages is no less than 77 what is the youngest age June can be      Log On


   

Question 1124276: June‘s father is six times as old as June the sum of their ages is no less than 77 what is the youngest age June can be
Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
One of these was done for you already.

system%28f=6j%2Cf%2Bj%3E=77%29
and you can do the rest.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i believe 11.

her father would have to be 6 * 11 = 66

66 and 11 = 77.

you would solve as follows:

you are given that the father is 6 times as old as june.

let F = the father's age.
let J = june's age

the equation for that is F = 6J.

you are given that the sum of their ages is no less than 77.

the equation for that is F + J >= 77

your two equations that need to be solved simultneously are:

F = 6J
F + J >= 77

since F = 6J from the first equation, replace F with 6J in the second equation to get:

6J + J >= 77

combine like terms to getr 7J >= 77

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

the youngest june can be is 11 years old.

that makes her father 6 * 11 = 66

that makes the sum of their ages equal to 66 + 11 = 77.