Question

if 6a+6b=84 what is the average of a and b solution

Answer 1

If 6a + 6b = 84 then the average of a and b is 7

Given :

6a + 6b = 84

To find :

The average of a and b

Solution :

Step 1 of 3 :

Write down the given equation

Here the given equation is

6a + 6b = 84

Step 2 of 3 :

Find the value of a + b

$\displaystyle \sf{ 6a + 6b = 84}$

$\displaystyle \sf{ \implies 6(a + b) = 84}$

$\displaystyle \sf{ \implies (a + b) = 14}$

Step 3 of 3 :

Find average of a and b

The average of a and b

$\displaystyle \sf{ = \frac{a + b}{2} }$

$\displaystyle \sf{ = \frac{14}{2} }$

$\displaystyle \sf{ = 7 }$

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Answer 2

Answer:

The average of a and b for 6a+6b = 84 is $\frac{a+b}{2}$ = 7.

Step-by-step explanation:

Average:

• Average is defined as the ratio of summation of all the units of given data to the no. of units present in the data .

• Let a and b are two numbers then average of a and b is given by $\frac{a+b}{2}$.

        Given equation is 6a+6b = 84

                             both sides divide by '2'

                                        $\frac{6a+6b}{2} = \frac{84}{2}$

                                       $\frac{6(a+b)}{2} = \frac{84}{2}$

                                       $\frac{6(a+b)}{2} = 42$      

                            both sides multiply with '1/6'

                               $\frac{6(a+b)}{2} (\frac{1}{6}) = 42(\frac{1}{6})$

                                        $\frac{a+b}{2} = 7$

          Hence the average of a and b is 7.

   

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