SOLUTION: Randall is 75 years younger than karissa. 9 years ago karissas age was 4 times Randall’s age. How old is Randall now?

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Question 1166098: Randall is 75 years younger than karissa. 9 years ago karissas age was 4 times Randall’s age. How old is Randall now?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
The site has so many of these. Students should be able to find a gigantic number of them already solved.



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PersonOne is n years younger than personTwo. p years ago, personTwo's age was k times personOnes age. How old is each person now?
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x, age of personOne
y, age of personTwo



Substituting x from first equation into the second equation





-----------personTwo's age

Now to FIND for x
Use ; substitute.





------------personOne's age
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Randall is 75 years younger than karissa. 9 years ago karissas age was 4 times Randall’s age. How old is Randall now? 
Let Randall's age be R

Then Karissa's is: R + 75

We then get: R + 75 - 9 = 4(R - 9)

R + 66 = 4R - 36

R - 4R = - 36 - 66

- 3R = - 102

Randall or  

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