SOLUTION: Brad is 6 years older than Pedro. Three years ago Pedro's age was three-fourths of Brad's age at that time. Find the present ages of Brad and Pedro Thank you for your help

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Brad is 6 years older than Pedro. Three years ago Pedro's age was three-fourths of Brad's age at that time. Find the present ages of Brad and Pedro Thank you for your help       Log On


   

Question 1015542: Brad is 6 years older than Pedro. Three years ago Pedro's age was three-fourths of Brad's age at that time. Find the present ages of Brad and Pedro
Thank you for your help
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = Brad's age now
Let +p+ = Pedro's age now
---------------------------
given:
(1) +b+=+p+%2B+6+
(2) +p+-+3+=+%283%2F4%29%2A%28+b+-+3+%29+
--------------------------
Multiply both sides of (2) by +4+
(2) +4%2A%28+p+-+3+%29+=+3%2A%28+b+-+3+%29+
(2) +4p+-+12+=+3b+-+9+
(2) +4p+-+3b+=+3+
and
(1) +p+-+b+=+-6+
Multiply both sides of (1) by +-3+
(1) +-3p+%2B+3b+=+18+
---------------------
Add (1) and (2)
(1) +-3p+%2B+3b+=+18+
(2) +4p+-+3b+=+3+
-------------------
+p+=+21+
and
(1) +b+=+p+%2B+6+
(1) +b+=+21+%2B+6+
(1) +b+=+27+
Pedro is 21 and Brad is 27
-----------------------
check:
(2) +p+-+3+=+%283%2F4%29%2A%28+b+-+3+%29+
(2) +21+-+3+=+%283%2F4%29%2A%28+27+-+3+%29+
(2) +18+=+%28+3%2F4%29%2A24+
(2) +4%2A18+=+3%2A24+
(2) +72+=+72+
OK