SOLUTION: The same of the ages of Roy and Karla is 91 years. 8years ago Roy’s age was 4 times karlas age. How old is Roy now?

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Question 1165622: The same of the ages of Roy and Karla is 91 years. 8years ago Roy’s age was 4 times karlas age. How old is Roy now?
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
let r = Roy's present age
let k = Karla's
:
write an equation for each statemen
:
The sum of the ages of Roy and Karla is 91 years.
r + k = 91
Use this form for substitution
k = (91-r)
8years ago Roy’s age was 4 times karla's age.
r - 8 = 4(k-8)
r - 8 = 4k - 32
r = 4k - 32 + 8
r = 4k - 24
How old is Roy now?
replace k with (91-r)
r = 4(91-r) - 24
r = 364 - 4r
r + 4r = 364 - 24
5r = 340
r = 340/5
r = 68 yrs is Roy's age
:
:
Check solution:
91 - 68 = 23 is Karla's age
"8 years ago Roy’s age was 4 times Karla's age."
68 - 8 = 4(23-8)
60 = 4(15)

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

The same of the ages of Roy and Karla is 91 years. 8years ago Roy’s age was 4 times karlas age. How old is Roy now?

Let Roy's, and Kayla's ages be R and K, respectively
Then K + R = 91_____K = 91 - R ----- eq (i)
Also, R - 8 = 4(K - 8)______R - 8 = 4K - 32______R = 4K - 24 ------ eq (ii)
R = 4(91 - R) - 24 ----- Substituting 91 - R for K in eq (ii)
R = 364 - 4R - 24
R + 4R = 364 - 24
5R = 340
Roy's age, or