SOLUTION: Rizza's age is one year more than twice Norie's age.Eight years ago,the sum of their ages was equal to Rizza's age ten years from now.How old are they now?

Question 466961: Rizza's age is one year more than twice Norie's age.Eight years ago,the sum of their ages was equal to Rizza's age ten years from now.How old are they now?
Answer by gwendolyn(128) (Show Source): You can put this solution on YOUR website!
Let Rizza's age=R
Let Norie's age=N
Let Rizza's age 8 years ago=R-8
Let Norie's age 8 years ago=N-8
Let Rizza's age 10 years from now=N+10
Two equations can be formed from the information in the question and the variables I have set.
R=2N+1
(R-8)+(N-8)=R+10
First, we cancel out the two 'R's in the second equation:
-8+N-8=10
Then we should add 16 to both sides.
N=26
Next, we should plug in our value of N.
R=2N+1
R=54+1
R=55
So, Rizza is 55 and Norie is 26.
RELATED QUESTIONS
Rizza age is 1 year more than twice Norie's age. eight years ago the sum of their ages... (answered by ccs2011)

rizza's age is one year more than twice norrie"s ge. eight years ago, the sum of thier... (answered by Mathtut)

rizza's age is one year more than twice norries's age. eight years ago, the sum of their... (answered by ankor@dixie-net.com)

Rizza's age is one year more than Norie's age. Eight years ago, the sum of their ages was (answered by mathstutor494)

Esther's age is one year more than twice Isabela's age. Eight years ago, the sum of their (answered by ankor@dixie-net.com)

Four times Polly’s present age is 4 more than eight times Olive’s age 2 years ago.... (answered by greenestamps)

The sum of Alan�s age and Patrick�s age is 58. Eight years ago, Alan was twice as old as... (answered by Seutip)

Phoebe’s age is 5 more than twice her brother’s age 10 years ago. The sum of their... (answered by trevorgiehl)

Two times the mother’s age is four more than eight times her daughter’s age. Five... (answered by josgarithmetic,ikleyn)