Question

Question #6e4c9

Answer 1

Mrs. Hill's son is `15 1/3` years old.

Explanation:

Let Mrs. Hill's age = `h`
Let her son's age = `s`

From the problem, the two equations are:
`h=4+2s`
`h+s=50`

We can solve for this using substitution because one of the variables is already isolated.
`(4+2s)+s=50`

Simplify and solve for the son's age (`s`):
`2s+s+4=50`
`3s+4=50`
`3s=46`
`s=15.33` years old

Plug the son's age into one of the original equations:
`h=4+2(15.33)`
`h=34.67` years old

Check:
"Mrs. Hill is 4 year older than twice her son's age. If the sum of their ages is 50, how old is her son?"
`34 1/3` is 4 more than 2 times `15 1/3`. `34 2/3+15 1/3` is 50.