SOLUTION: I was 17 when my little nephew was born. At some point my age will be three times his age. I need an equation which models how old in years each of you will be when I am three ti

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: I was 17 when my little nephew was born. At some point my age will be three times his age. I need an equation which models how old in years each of you will be when I am three ti      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 794676: I was 17 when my little nephew was born. At some point my age will be three times his age. I need an equation which models how old in years each of you will be when I am three times as old as the younger person. He is 10 now and I am 27 but when he was born I was 17.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The difference in their ages will
always be the same which is 17 yrs
Let +u+ = uncle's age
Let +n+ = nephew's age
-----------------------
+n+=+u+-+17+
--------------
+u+=+n+%2B+17+
+u+=+3n+
-----------
+3n+=+n+%2B+17+
+2n+=+17+
+n+=+8.5+
and
+u+=+3n+
+u+=+3%2A8.5+
+u+=+25.5+
Uncle is 25 and 1/2
Nephew is 8 and 1/2
when uncle is 3 times
nephew's age