If A₁ and A₂ are 2 A.M.'s between 20 and 80, then A₁ + A₂ is equal to:
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SOLUTION
GIVEN
A₁ and A₂ are 2 A.M.'s between 20 and 80
TO DETERMINE
The value of A₁ + A₂
EVALUATION
Here it is given that A₁ and A₂ are 2 A.M.'s between 20 and 80
So 20 , A₁ , A₂ , 80 forms an arithmetic progression
Let Common Difference = d
First term = a = 20
Then 4 th term = 80
⇒20 + 3d = 80
⇒3d = 60
⇒ d = 20
A₁ = 2nd term = a + d = 20 + 20 = 40
A₂ = 3rd term = a + 2d = 20 + 40 = 60
Thus A₁ + A₂ = 40 + 60 = 100
FINAL ANSWER
A₁ + A₂ = 100
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