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 ->  Numeric Fractions Calculators, Lesson and Practice -> 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 231062: 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 ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One number is 25% of another.
n = one number
then
.25n = another number
:
The larger number is 12 more than the smaller.
n = .25n + 12
:
Both numbers are positive. What are the numbers?
;
n - .25n = 12
:
.75n = 12
n = 12%2F.75
n = 16; the number
and
.25(16) = 4; the other number
;
:
Check solution in the statement
"The larger number is 12 more than the smaller. "
16 = 12 + 4