SOLUTION: the ratio of the present ages of John and Jack 2:9. four years ago, the sum of their ages was 47 years. how old is Jack now?

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Question 888261: the ratio of the present ages of John and Jack 2:9. four years ago, the sum of their ages was 47 years. how old is Jack now?
Found 2 solutions by lwsshak3, MathTherapy:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
he ratio of the present ages of John and Jack 2:9. four years ago, the sum of their ages was 47 years. how old is Jack now?
4 yrs ago:
let x=john's age
47-x=jack's age
..
at present:
x+4=john's age
47-x+4=51-x=jack's age
%28x%2B4%29%2F%2851-x%29=2%2F9
9x+36=102-2x
11x=66
x=6
x+4=10
51-x=47
how old is Jack now? 47

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

the ratio of the present ages of John and Jack 2:9. four years ago, the sum of their ages was 47 years. how old is Jack now? 


Let multiplicative factor of their ages be x

Then John's and Jack's current ages are: 2x and 9x, respectively

Four years ago, John was 2x - 4, and Jack was 9x - 4

Since their ages, 4 years ago, was 47, then:

2x - 4 + 9x - 4 = 47

2x + 9x = 47 + 8

11x = 55

x = 55%2F11, or 5

Therefore, Jack's current age = 9(5), or highlight_green%28highlight_green%2845%29%29

You can do the check!! 



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