SOLUTION: a girl is 4 years older than her brother. 2 years ago the sum of their ages was 20. What is her age now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: a girl is 4 years older than her brother. 2 years ago the sum of their ages was 20. What is her age now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1061521: a girl is 4 years older than her brother. 2 years ago the sum of their ages was 20. What is her age now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = her age now
+x+-+2+ = her age 2 years ago
+x+-+4+ = her brother's age now
+x+-+4+-+2+=+x+-+6+ = her brother's age 2 years ago
-------------------------------
given:
+x+-+2+%2B+x+-+6+=+20+
+2x+-+8+=+20+
+2x+=+28+
+x+=+14+
She is 14 now
----------------------
check answer:
a girl is 4 years older than her brother.
She is 14
He is 10
-----------
2 years ago:
She is 12
He is 8
+12+%2B+8+=+20+
OK