if A and B are in ratio 3:4 and B and C in 12:13,then A and C will be
To find the ratio between A and C, we need to establish a relationship between A, B, and C using the given information.
Given that A and B are in the ratio of 3:4 and B and C are in the ratio of 12:13, we can assume that B acts as a common term between both ratios.
To find the relationship between A and C, we can connect the two ratios by equating the values of B.
First, let's find the common value of B in both ratios:
Since the ratio of A to B is given as 3:4, we can assume that B is a multiple of 4. Let's assume that B = 4x.
Similarly, since the ratio of B to C is given as 12:13, we can assume that B is a multiple of 12. Let's assume that B = 12y.
Now, equating the value of B in terms of x and y, we get:
4x = 12y.
To simplify the equation, we can divide both sides by 4:
x = 3y.
Now that we have the relationship between x and y, we can substitute this value back into the original ratio of A to B.
Since B = 4x, we have B = 4 * 3y = 12y.
Now, we can write the ratio between A and C:
A:B = 3:12y.
Similarly, the ratio between B and C is given as B:C = 12y:13.
To find the ratio between A and C, we can multiply the ratio of A:B by the ratio of B:C.
(A:B) * (B:C) = (3:12y) * (12y:13).
Simplifying the product of the two ratios, we get:
A:C = (36y^2:13).
So, the ratio between A and C is 36y^2:13.