Question: If A and B are in the ratio 3:4 and B and C are in the ratio 12:13, then A and C will be in the ratio.
Solution:A and B are in the ratio 3:4 and B and C are in the ratio 12:13.
Another way,Given, A and B are in the ratio = 3:4 -------(1)
B and C are in the ratio = 12:13. --------(2)
To combine, make B's value the same (LCM of 4 and 12 is 12).
Thus, multiplying (1) by 3, we get,
A:B = 9:12
and B:C = 12:13
Equating two ratios, we can achieve
→ A:C = 9:13