SOLUTION: The difference of two numbers is 8. Three times the smaller number minus two times the larger number is �3. Find the two numbers.

Question 375592: The difference of two numbers is 8. Three times the smaller number minus two times the larger number is �3. Find the two numbers.
Found 2 solutions by robertb, mananth:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
l - s = 8,
3s-2l = -3.
The 1st equation becomes l = s + 8. Substitute into the bottom equation, to get
3s - 2(s+8) = -3, or
3s - 2s - 16 = -3, or
s = 13, the smaller number.
l = 13+8 = 21, the larger number.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the numbers be x & y
(x smaller)
..
y-x=8
3x-2y=-3
...
multiply first equation by 2
2y-2x=16
add it to second equation
3x-2x+2y-2y=16-3
x= 13
..
y-x=8
plug x
y-13=8
+13
y=21
..
numbers are 13 & 21
m.ananth@hotmail.ca
RELATED QUESTIONS
The difference between two numbers is 45. Six times the smaller number minus three times... (answered by ewatrrr)
the difference between two numbers is 2. if three times the larger number minus double... (answered by macston)
The difference between two numbers is 2. If three times the larger number minus twice... (answered by satyareddy22)
The sum of two numbers is 22. Three times the smaller number minus two times the larger... (answered by mananth,unlockmath)
The sum of two numbers is 22. Three times the smaller number minus two times the larger... (answered by ewatrrr)
One number is 8 less than another. If 10 times the smaller number minus 3 times the... (answered by rajagopalan)
The difference between two numbers is -38. Two times the smaller number minus five times... (answered by elima,Dimknight)
The difference of two numbers is 6. The sum of 2 times the larger number and 3 times the (answered by JulietG)
Find two numbers whose difference is 2 and four times the smaller minus three times the... (answered by MathLover1)