SOLUTION: FATHER'S AGE IS THRICE THE AGE OF HIS SON,FATHER'S AGE WAS 42 YRS.WHEN SON WAS BORN ,FIND THE FATHER'S AND SON'S AGE WHEN FATHER'S AGE WILL BE 7 TIMES OF THE SON'S AGE.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: FATHER'S AGE IS THRICE THE AGE OF HIS SON,FATHER'S AGE WAS 42 YRS.WHEN SON WAS BORN ,FIND THE FATHER'S AND SON'S AGE WHEN FATHER'S AGE WILL BE 7 TIMES OF THE SON'S AGE.       Log On


   



Question 457255: FATHER'S AGE IS THRICE THE AGE OF HIS SON,FATHER'S AGE WAS 42 YRS.WHEN SON WAS BORN ,FIND THE FATHER'S AND SON'S AGE WHEN FATHER'S AGE WILL BE 7 TIMES OF THE SON'S AGE.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The key to this is that the difference in their
ages will always be the same
Let +f+ = Father's age now
Let +s+ = Son's age now
Let +y+ = years from now when Father's age
will be 7 times on's age
given:
(1) +f+=+3s+
(2) +f+-+s+=+42+
The difference in their ages will still be 42
when +f+=+7s+
(3) +f+%2B+y+=+7%2A%28s+%2B+y%29++
----------------------------------
Substitute (1) into (2)
(2) 3s - s = 42 }}}
+2s+=++42+
+s+=+21+
and
(1) +f+=+3s+
+f+=+63+
and
(3) +f+%2B+y+=+7%2A%28s+%2B+y%29++
(3) +63+%2B+y+=+7%2A%2821+%2B+y%29++
(3) +63+%2B+y+=+147+%2B+7y++
(3) +6y+=+-84+
(3) +y+=+-14+
and
+f+%2B+y+=+63+-+14+
+f+%2B+y+=+49+
+s+%2B+y+=+21+-+14+
+s+%2B+y+=+7+
When the Father was 49 and the Son was 7,
The Father's age was 7 times the Son's age