SOLUTION: One number is 25% of another. The larger number is 12 more than the smaller. Both numbers are positive. What are the numbers?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: One number is 25% of another. The larger number is 12 more than the smaller. Both numbers are positive. What are the numbers?      Log On


   

Question 136429: One number is 25% of another. The larger number is 12 more than the smaller. Both numbers are positive. What are the numbers?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Larger number = a
Smaller number = b
b+=+.25a
a+=+b+%2B+12
a+=+.25a+%2B+12
.75a+=+12
a+=+12%2F.75
a+=+16
b+=+.25a
b+=+.25%2A16
b+=+4
The numbers are 16 and 4
check:
b+=+.25a
4+=+.25%2A16
4+=+4
a+=+b+%2B+12
16+=+4+%2B+12
16+=+16
OK