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31 vote

The average height of A, B and C is 148 cm. If the average height of A and B is 136 cm and that of B and C is 125 cm, then what is the height (in cm) of B?

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The average height of A, B and C is 148 cm. If the average height of A and B is 136 cm and that of B and C is 125 cm, then what is the height (in cm) of B?
1). 56
2). 78
3). 112
4). 130


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1 answers

25 vote
Answered by on | Votes 25 |

Average height of A, B, & C = 148

So, A + B + C = 148 × 3 = 444    ----(1)

Average height of A & B = 136

So, A + B = 136 × 2 = 272    ----(2)

Average height of B & C = 125

So, B + C = 125 × 2 = 250    ----(3)

Subtract equation (2) from equation (1)

A + B + C – A – B = 444 – 272

⇒ C = 172

Putting value of C in equation (3), we get

B + 172 = 250

∴ B = 250 – 172 = 78 cm
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