Question

The average of six numbers is 35 that of the first 5 is 33. Find the sixth number?

Answer 1

Answer:

sorry don't know the answer to this question

Answer 2

Answer:

Required sixth number be 45.

Step-by-step explanation:

Given average of six numbers is 35.

Let six numbers be a,b,c,d,e,f.

But now question is what is average?

If x and y be two numbers then their avarage $= \frac{x + y}{2}$

For example,

we are taking two numbers 50 and 60.

And by the average definition, average of 50 and 60 is

$\frac{50 + 60}{2} \\ = \frac{110}{2} \\ = 55$

Here avarage of a,b,c,d,e,f is 35.

Therefore,

$\frac{a + b + c + d + e + f}{6} = 35 \\ a + b + c + d + e + f = 6 \times 35 \\ a + b + c + d + e + f =210....(1)$

It is also given,

Average of first five numbers is 33.

So,

$\frac{a + b + c + d + e}{5} = 33 \\ a + b + c + d + e = 5 \times 33 \\ a + b + c + d + e = 165.....(2)$

We are subtracting equation (2) from equation (1) and get

$(a + b + c + d + e + f) - (a + b + c + d + e) = 210 - 165$

$f = 45$

Therefore the sixth number is 45.

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