Select the correct answerIf (a + b)/ c = 6/5 and (b + c ) / a = 9/2 then what is the value of (a + c )/b?Options9/57/117/411/7

To solve this problem, we need to use the given equations and manipulate them to find the value of (a + c) / b.

Given: (a + b) / c = 6/5 ----(1) (b + c) / a = 9/2 ----(2)

We need to find the value of (a + c) / b.

Let's start by isolating 'b' in equation (1) and 'a' in equation (2).

From equation (1), we get: b = c * (6/5) - a ----(3)

From equation (2), we get: a = (b + c) / (9/2) = 2*(b + c) / 9 ----(4)

Now, substitute equation (3) into equation (4) to get 'a' in terms of 'c':

a = 2 * [(c * (6/5) - a + c) / 9] => 9a = 2 * [(6c/5 + c - a)] => 9a = 2 * [(11c/5 - a)] => 9a = 22c/5 - 2a => 11a = 22c/5 => a = 2c/5 ----(5)

Now, substitute equation (5) into equation (3) to get 'b' in terms of 'c':

b = c * (6/5) - 2c/5 = 4c/5 ----(6)

Now, substitute equations (5) and (6) into the expression we need to find, (a + c) / b:

(a + c) / b = (2c/5 + c) / (4c/5) = 7/4

So, the value of (a + c) / b is not in the given options. There might be a mistake in the problem or the options.