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

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Question 182732: ONe number is 25% of another The larger number is 12 more than the smaller. What are the numbers?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The number that is 25% of the other is the smaller.
Call the smaller number a
Call the larger number b
given:
a+=+.25b
b+=+a+%2B+12
----------------
By substitution:
b+=+.25b+%2B+12
Subtract .25b from both sides
.75b+=+12
b+=+16
and
a+=+.25b
a+=+.25%2A16
a+=+4
The smaller number is 4 and the larger is 16