Question 164791
Let r = R's age now
Let n = N's age now
:
Write an equation for each statement;
:
"rizza's age is one year more than twice norries's age."
r = 2n + 1
:
" eight years ago, the sum of their ages was equal to rizza's age ten years from now."
(r-8)+(n-8) = r + 10
:
r + n - 16 = r + 10
:
r - r + n = 10 + 16
:
n = 26 yrs is N's age now
":
we know r = 2n + 1
r = 2(26) + 1
r = 53 yrs is R's age
:
:
See how those solution work in the statement
"eight years ago, the sum of their ages was equal to rizza's age ten years from now."
(53-8) + (26-8) = 53 + 10
45 + 18 = 63; confirms our solutions


 how old are they?