SOLUTION: Push kar is 9 years younger than two fifth his father's age. If 4 times pushkar age in4 years is equal to his father in 7 years. Determine his father's age

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Push kar is 9 years younger than two fifth his father's age. If 4 times pushkar age in4 years is equal to his father in 7 years. Determine his father's age       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 935648: Push kar is 9 years younger than two fifth his father's age. If 4 times pushkar age in4 years is equal to his father in 7 years. Determine his father's age
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = Pushkar's age now
Let +f+ = his father's age now
-----------------------------
(1) +p+=+%282%2F5%29%2Af+-+9+
(2) +4%2A%28+p+%2B+4+%29+=+f+%2B+7+
--------------------------
(1) +5p+=+2f+-+45+
(1) +2f+-+5p+=+45+
----------------------
(2) +4p+%2B+16+=+f+%2B+7+
(2) +f+-+4p+=+9+
-------------------
Multiply both sides of (2) by +2+
and subtract (2) from (1)
(1) +2f+-+5p+=+45+
(2) +-2f+%2B+8p+=+-18+
------------------------
+3p+=+27+
+p+=+9+
and
(2) +f+-+4p+=+9+
(2) +f+-+4%2A9+=+9+
(2) +f+=+9+%2B+36+
(2) +f+=+45+
His father's age is 45
check:
(2) +4%2A%28+p+%2B+4+%29+=+f+%2B+7+
(2) +4%2A%28+9+%2B+4+%29+=+45+%2B+7+
(2) +4%2A13+=+52+
(2) +52+=+52+
and
(1) +p+=+%282%2F5%29%2Af+-+9+
(1) +9+=+%282%2F5%29%2A45+-+9+
(1) +9+=+18+-+9+
(1) +9+=+9+
OK