If a : (b+c)=1:3 ; c : (a + b) = 5 : 7, then b:(a+c) is equal to?Options2 : 11 : 21 : 32 : 3

The problem is a ratio problem. Here are the steps to solve it:

Step 1: From the first equation, we can write a = 1/3(b+c)

Step 2: From the second equation, we can write c = 5/7(a+b)

Step 3: Substitute a from the first equation into the second equation, we get c = 5/7((1/3(b+c))+b)

Step 4: Solve the equation for b, we get b = 11/2c

Step 5: Substitute b into the first equation, we get a = 1/3(11/2c+c) = 13/6c

Step 6: Therefore, the ratio b:(a+c) = 11/2c : (13/6c + c) = 2:3

So, the answer is 2:3.

The problem is a ratio problem. Here are the steps to solve it:

Step 1: From the first equation, we can write a = 1/3(b+c)

Step 2: From the second equation, we can write c = 5/7(a+b)

Step 3: Substitute a from the first equation into the second equation, we get c = 5/7((1/3(b+c))+b)

Step 4: Solve the equation for b, we get b = 11/2c

Step 5: Substitute b into the first equation, we get a = 1/3(11/2c+c) = 13/6c

Step 6: Therefore, the ratio b:(a+c) = 11/2c : (13/6c+c) = 11/2 : 13/6+1 = 11/2 : 19/6 = 33 : 57 = 11 : 19

So, the answer is 11 : 19.