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.​

2 thoughts on “16. The average of three numbers is 24. If<br />one of the numbers is 18 and the other number<br />is 19, find the third number.​”

1. Answer:

   x= 35

   Step-by-step explanation:

   (18 + 19 + x)/3 = 24

   18 + 19 + x = 72

   37 + x = 72

   x = 35

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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:

   [tex] \: \: \sf \: average = \frac{sum \: of \: all \: the \: numbers \: of \: the \:quantities }{total \: no. \: of \: quantities} [/tex]

   Now substitute the values,

   [tex] \: \: \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[/tex]

   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

   Reply