SOLUTION: two numbers are in the ratio 2:3 . if 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller is

Question 836640: two numbers are in the ratio 2:3 . if 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller is
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
two numbers are in the ratio 2:3.
let x = the multiplier
then
2x = the smaller number
3x = the larger
:
if 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25,
.2(2x) + 20 = .1(3x) + 25
.4x + 20 = .3x + 25
.4x - .3x = 25 - 20
.1x = 5
x = 5/.1
x = 50 is the multiplier
:
then the smaller is: 2*50 = 100
:
:
:
Check this, (the larger number 3*50 = 150)
.2(100) + 20 = .1(150) + 25
20 + 20 = 15 + 25
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