SOLUTION: Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the numbers is:
Algebra.Com
Question 454689: Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the numbers is:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two numbers are in the ratio 2 : 3.
d:3 is the same as 2x:3x
-----
If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2.
(2x-2)/(3x+2) = 1/2
---
4x-4 = 3x+2
x = 6
----
2x = 12
3x = 18
--------
The sum of the numbers is: 30
===================================
Cheers,
Stan H.
RELATED QUESTIONS
Two numbers are in ratio of 7:11. If 7 is added to each of the number, the ratio becomes... (answered by Maths68,gc2000)
two numbers are in the ratio 1:2 If 7 is added to both numbers, it becomes 3:5.find the... (answered by greenestamps)
Two numbers are such that the ratio between them is 3:5. If one is added to the one and 7 (answered by ewatrrr)
Two numbers are such that the ratio between them is 3:5. If one is added to the one and 7 (answered by ewatrrr)
1)If 3 is subtracted from the numerator of a certain fraction,the value of the fraction... (answered by ankor@dixie-net.com)
Two consecutive numbers are represented by x and x + 1 if 6 is added to the first number... (answered by ikleyn,greenestamps)
Two numbers are in a ratio of 6 to 7. If the first is increased by 2 and the second is... (answered by Fombitz)
Two numbers are in the ratio 6:5.If 18 is subtracted from the first and second number... (answered by josgarithmetic)
the ratio of 2 numbers is 7:4 if 8 is added to the larger number and 4 is subtracted from (answered by richwmiller)