Correct Answer - Option 4 : Cannot be determined
Given:
The ratio of three numbers A, B and C = 8 ∶ 11 ∶ 15
The ratio of A and D = 4 ∶ 11
The number C = The average of the numbers A and D.
Formula:
If the ratio of A and B is a ∶ b, assume A = ak and B = bk where k is a constant.
Calculation:
Let the numbers A, B, C and D be 8x, 11x, 15x and 22x respectively.
The number C = The average of the numbers A and D.
⇒ 15x = (8x + 22x)/2
⇒ 30x – 8x = 22x
⇒ 22x = 22x
∴ The value of x cannot be determined.
A : B : C = 8 : 11 : 15
A : D = 4 : 11
To make A same in both the ratios , we have to multiply 2 with (A : D)
