Question #6e4c9

1 Answer
Anjali G
Nov 13, 2016

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.

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