Question

Write 10 different numbers between 40 and 60 so that the arithmetic mean of these numbers is 50​

Answer 1

Answer:

45,46,47,48,49.5,50.5,51,52,53,54

Answer 2

Given :- Write 10 different numbers between 40 and 60 so that the arithmetic mean of these numbers is 50 ?

Answer :-

we know that,

• Arithmetic mean of consecutive numbers is the middle number .

so, in order to find different numbers between 40 and 60 so that the arithmetic mean of these numbers is 50 , we just have to take numbers in AP , whose middle number is 50 .

so,

→ (a1 + a2 ______________ a10) / 10 = 50

→ a1 + a2 + _____________ a10 = 500

→ 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57 + 59 = 500

or, we can say that,

→ 41 , 43 , 45 , 47 , 49 , 50, 51 , 53 , 55 , 57 , 59 = 50 is in middle of the numbers .

therefore, required 10 numbers are 41 , 43 , 45 , 47 , 49 , 51 , 53 , 55 , 57 , 59 .

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