Question

IF the average of 7,12,,6,10and p is 8 find the value of p​

Answer 1

Appropriate Question :-

If the average of 7, 12, 6, 10 and p is 8. Find the value of p.

Answer :-

The value of p is 5.

Step-by-step explanation:

To Find :-

• The value of p

★ Solution

Given that,

• The average of 7, 12, 6, 10 and p = 8

$\sf{\therefore \: \: \: \: \dfrac{7 + 12 + 6 + 10 + p}{5} = 8}$

By simplifying :-

$\sf{\longrightarrow \: \: \: \: \dfrac{19 + 6 + 10 + p}{5} = 8}$

$\sf{\longrightarrow \: \: \: \: \dfrac{25 + 10 + p}{5} = 8}$

$\sf{\longrightarrow \: \: \: \: \dfrac{35 + p}{5} = 8}$

By cross-multiplication :-

$\sf{\longrightarrow \: \: \: \: 35 + p = 8 \times 5}$

$\sf{\longrightarrow \: \: \: \: 35 + p = 40}$

$\sf{\longrightarrow \: \: \: \: p = 40 - 35}$

$\sf{\longrightarrow \: \: \: \: p = 5}$

Hence, The value of p is 5.

V E R I F I C A T I O N :-

• $\sf{ \dfrac{7 + 12 + 6 + 10 + p}{5} = 8}$

By putting the value of p in L.H.S and simplifying :-

$\sf{\longrightarrow \: \: \: \: \dfrac{7 + 12 + 6 + 10 + p}{5}}$

$\sf{\longrightarrow \: \: \: \: \dfrac{7 + 12 + 6 + 10 + 5}{5}}$

$\sf{\longrightarrow \: \: \: \: \dfrac{19 + 6 + 10 + 5}{5}}$

$\sf{\longrightarrow \: \: \: \: \dfrac{25 + 10 + 5}{5}}$

$\sf{\longrightarrow \: \: \: \: \dfrac{35 + 5}{5}}$

$\sf{\longrightarrow \: \: \: \: \dfrac{40}{5}}$

$\sf{\longrightarrow \: \: \: \: \cancel{ \dfrac{40}{5}}}$

$\sf{\longrightarrow \: \: \: \: 8}$

Now, L.H.S = R.H.S. = 8

Hence, Verified!