Question

If A, B, and C are positive numbers such that 2.5A = 1.5B = C and 125/6 is the mean
of A, B, and C, what is the value of B?

Answer 1

Given:

A , B  and C are positive integers

2.5 A = 1.5 B = C

Mean of A , B and C is $\frac{125}{6}$

To Find:

What is the value of B

Solution:

Mean of N numbers :

$Mean = \frac{n_{1} + n_{2} + n_{3} + n_{4} ......... + n_{N-1} + n_{N} }{N}$

2.5 A = 1.5 B = C

represent A and C in terms of B.

2.5 A = 1.5 B

$A = \frac{2B}{3}$

1.5 B = C

$Mean = \frac{A + B C}{3} \\M = \frac{\frac{2B}{3} + 1.5B + B}{3} \\M = \frac{125}{6} \\B = 6.5$

A = 4.4      C = 9.8

The value of B = 6.57.