The ratio of three numbers A, B and C is 8 ∶ 11 ∶ 15, and ratio of

1.	The ratio of three numbers A, B and C is 8 ∶ 11 ∶ 15, and ratio of A and D is 4 ∶ 11. The number C is equal to the average of the number A and D. Find the number B.1. 332. 243. 454. Cannot be determined
Answer» 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)

The ratio of three numbers A, B and C is 8 ∶ 11 ∶ 15, and ratio of A and D is 4 ∶ 11. The number C is equal to the average of the number A and D. Find the number B.1. 332. 243. 454. Cannot be determined

Answer» 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)

Discussion

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