SOLUTION: Could you please explain how to tackle this problem? The ratio of Jonathan’s age to David’s age is 6:5. In seven years it will be 7:6. What are their ages now. Thanks in adva

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Question 1085934: Could you please explain how to tackle this problem?
The ratio of Jonathan’s age to David’s age is 6:5. In seven years it will be 7:6. What are their ages now.
Thanks in advance.

Found 3 solutions by Alan3354, MathLover1, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The ratio of Jonathan’s age to David’s age is 6:5. In seven years it will be 7:6. What are their ages now.
================
J/D = 6/5 --> 5J = 6D
---
(J+7)/(D+7) = 7/6 --> 6(J+7) = 7(D+7)
------------------
5J = 6D
6(J+7) = 7(D+7)
---
Can you do the rest?
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
The ratio of Jonathan’s age to David’s age is .
let Jonathan’s age be and David’s age , then we have


....eq.1

In seven years it will be :





.......eq2
from eq1 and eq2 we have
......solve for

...both sides multiply by



now find
....eq.1
....simplify



so,Jonathan’s age is and David’s age is
check the ratios:



in seven years Jonathan’s age will be , and David’s age will be



Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Could you please explain how to tackle this problem?
The ratio of Jonathan’s age to David’s age is 6:5. In seven years it will be 7:6. What are their ages now.
Thanks in advance.
Let MULTIPLICATIVE factor of each person’s age be x

Then Jonathan’s age is: 6x and David’s is: 5x

We then get: 

6(6x + 7) = 7(5x + 7) ---------- Cross-multiplying 

36x + 42 = 35x + 49

36x – 35x = 49 – 42

x, or MULTIPLICATIVE factor of each person’s age is 7



It is that simple!! 

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