SOLUTION: karen is 6 years older than nina five years from now the sum of their ages will be 52 how old are both of them

Question 1049871: karen is 6 years older than nina five years from now the sum of their ages will be 52 how old are both of them
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
karen is 6 years older than nina five years from now the sum of their ages will be 52 how old are both of them
:
let k = Karen's age
let n = Nina's
:
Write an equation for each statement
:
" karen is 6 years older than nina"
k = n + 6
" five years from now the sum of their ages will be 52"
(k + 5) + (n + 5) = 52
k + n + 10 = 52
k + n = 52 - 10
k + n = 42
Replace k with (n+6), from the first statement
(n + 6) + n = 42
2n = 42 - 6
2n = 36
n = 36/2
n = 18 is Nina's age
then
k = 18 + 6
k = 24 is Karen's age
:
:
Check this in the statement
" five years from now the sum of their ages will be 52"
24+5 + 18+5 =
29 + 23 = 52
RELATED QUESTIONS
Steve is 4 years older than Tim. Five years from now, the sum of their ages will be 28.... (answered by macston)

Karen is 15 years older than Kyla. 13 years from now the sum of their ages will be 109.... (answered by checkley71)

michael is five years older than ela. six years from now, the sum of their ages will be... (answered by Fombitz)

Karen is 3 years younger than Susan. Five years ago the sum of their ages was 41. How old (answered by ikleyn)

Roy is five years older than Bertha. In 6 years, the sum of their ages will be 33 years.... (answered by Thorny_Twig,MathTherapy)

A man is 6 years older than 3 times his son's age. Five years from now the sum of their... (answered by Alan3354)

Nono is Five years older than his twin sisters. The sum of the ages of the twins three... (answered by lwsshak3)

Nina is 11 years older than Nene. The sum of their age is 39. How old are they... (answered by jessica43,JBarnum)

Bill is three years older than Ted. In five years, the sum of their ages will be 47. How... (answered by JulietG)