SOLUTION: The combined ages of a father and his twin daughters is 54. The father was 24 when the twins were born. How old is each person?

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Question 775976: The combined ages of a father and his twin daughters is 54. The father was 24 when the twins were born. How old is each person?
Found 2 solutions by tanjo3, josmiceli:
Answer by tanjo3(60) About Me  (Show Source):
You can put this solution on YOUR website!
Le n be the age of one of the daughters. Then, their father's age is give by (54 - 2n).

Then, we can write:
24 + n = 54 - 2n
3n = 30
n = 10
The daughters are 10 years old and the father is 34.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +f+ = father's age now
Let +d+ = each of the twin daughter's age now
---------------
+f+%2B+d+%2B+d+=+54+
(1) +f+%2B+2d+=+54+
---------------
The difference in the father's age and one of
his daughters will always be +24+, so
(2) +f+-+d+=+24+
----------------
Subtract (2) from (1)
(1) +f+%2B+2d+=+54+
(2) +-f+%2B+d+=+-24+
------------------
+3d+=+30+
+d+=+10+
and
(2) +f+-+d+=+24+
(2) +f+=+24+%2B+d+
(2) +f+=+24+%2B+10+
(2) +f+=+34+
The father is 34, and each of his
daughters is 10