Question

If sum of 3 arithmetic means between a and 22 is 42 then a is?

Answer 1

Answer:

The answer ia 34 !!!❣️❣️❣️

Answer 2

The value of "a" is 102

Solution:

Given that,

Sum of 3 arithmetic means between a and 22 is 42

Tow numbers are : a and 22

The primary arithmetic mean is the midpoint between a and 22

$\frac{a + 22}{2}$

The arithmetic mean between the initial value and the midpoint is

$\frac{a + \frac{a + 22}{2} }{2}\\\\\frac{3a + 22}{4}$

The arithmetic mean between the midpoint and the final value is

$\frac{22 + \frac{a + 22}{2} }{2} = 42\\\\\frac{44 +a+22}{4} = 42\\\\66+a = 168\\\\a = 168-66\\\\a = 102$

Thus value of "a" is 102

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