SOLUTION: 5 years ago carlos age was 7 times of tom's age but after 3 years carlos age will be 4 times of tom's age. calculate their ages ?

Question 1113373: 5 years ago carlos age was 7 times of tom's age but after 3 years carlos age will be 4 times of tom's age. calculate their ages ?
Answer by ikleyn(52833) (Show Source): You can put this solution on YOUR website!
.

C - 5 = 7*(T-5)     (1)     (5 years ago . . . )
C + 3 = 4*(T+3)     (2)     (in 3 years . . . )


From (1), express  C = 7*(T-5) + 5 = 7T -35 + 5 = 7T -30   and substitute it into eq(2).  You will get


(7T - 30) + 3 = 4*(T+3)

7T - 27 = 4T + 12

3T = 12 + 27 = 39  ====>  T =  = 13.


Answer.  T = 13,  C = 7T - 30 = 7*13-30 = 91-30 = 61.

Solved.

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    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
    - Age problems for mental solution
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The referred lessons are the part of this online textbook under the topic "Age word problems".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
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