SOLUTION: 1) Aaron is 50 years younger than Maggie. 5 years ago, Maggie's age was 3 times Aaron's age. How old is Aaron now? 2)Nate is 5 years older than April. In 5 years the sum of thei

Algebra ->  Human-and-algebraic-language -> SOLUTION: 1) Aaron is 50 years younger than Maggie. 5 years ago, Maggie's age was 3 times Aaron's age. How old is Aaron now? 2)Nate is 5 years older than April. In 5 years the sum of thei      Log On


   

Question 1016711: 1) Aaron is 50 years younger than Maggie. 5 years ago, Maggie's age was 3 times Aaron's age. How old is Aaron now?
2)Nate is 5 years older than April. In 5 years the sum of their ages will be 59. How old is Nate now?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
(1)
a for Aaron, m for Maggie
system%28a=m-50%2Cm-5=3a%29

(2)
n for Nate, a for April
system%28n=a%2B5%2C%28n%2B5%29%2B%28a%2B5%29=59%29

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

1) Aaron is 50 years younger than Maggie. 5 years ago, Maggie's age was 3 times Aaron's age. How old is Aaron now?
2)Nate is 5 years older than April. In 5 years the sum of their ages will be 59. How old is Nate now?
Let Aaron's current age be A

Then Maggie's is: A + 50

Also, A + 50 - 5 = 3(A - 5)

A + 45 = 3A - 15

Solve for A, Aaron's current age



Let Nate's current age be N

Then April's is: N - 5

Also, N + 5 + N - 5 + 5 = 59

2N + 5 = 59

Solve for N, Nate's current age