| Ratio and Proportion |
(2a+3b)/(a+c)=2
(6a+c)/(a+b)=3
Find the numeric value of the ratio a:b:c. |
Problem Moderated by: Douglas |
| Problem Solution |
By multiplying the first equation by (a + c), we obtain
2a + 3b = 2a + 2c
3b = 2c
b = 2/3c
Multiplying the second equation by (a + b) gives:
6a + c = 3a + 3b
3a = 3b - c
3a = 3(2/3)c - c
3a = c
Now, since b=2/3c and c=3a, b=2a, so the ratio a:b:c can be rewritten as the ratio a:2a:3a, or 1:2:3. |
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