Question

16. The average of three numbers is 24. If
one of the numbers is 18 and the other number
is 19, find the third number.​

Answer 1

Answer:

x= 35

Step-by-step explanation:

(18 + 19 + x)/3 = 24

18 + 19 + x = 72

37 + x = 72

x = 35

Answer 2

Given:-

•Average of three numbers is 24.

•One number and the other number is 18 and 19.

To Find:-

•Find the third number

Solution:-

Let consider the third number be x.

Using Formula:

$\: \: \sf \: average = \frac{sum \: of \: all \: the \: numbers \: of \: the \:quantities }{total \: no. \: of \: quantities}$

Now substitute the values,

$\: \: \sf \: 24 = \frac{18 + 19 + x}{3} \\ \\ \: \: \sf \: 24 \times 3 = 18 + 19 + x \\ \\ \: \: \sf \: 72 = 37 + x \\ \\ \: \sf \: x = 72 - 37 \\ \\ \: \: \sf \: x = 35$

Henceforth, third number is 35.

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Extra Info...

• Sum of the quantities = Average × Total no. of quantities
• Total No. of quantities = Sum of all the quantities/ Average
• Average Speed = Total distance/Total time

•If three equal distances travelled in three different speeds(x,y and z),then

Average Speed = 3xyz/xy+yz+zx