The average of D1 and D2 is 40 The average of D2 and D3 is 45 The average of D1 ...........

Quantitative Aptitude (MTS) Average

The average of D₁ and D₂ is 40. The average of D₂and D₃ is 45. The average of D₁and D₃is 55. What is the value of D₃ ?

This questions was previously asked in

SSC MTS 26th July 2022 Shift-2

- We have three equations based on the given averages:

- (D₁ + D₂)/2 = 40, so D₁ + D₂ = 80

- (D₂ + D₃)/2 = 45, so D₂ + D₃ = 90

- (D₁ + D₃)/2 = 55, so D₁ + D₃ = 110

- Now, add the three equations:

- D₁ + D₂ + D₂ + D₃ + D₁ + D₃ = 280

- Simplify to: 2D₁ + 2D₂ + 2D₃ = 280

- Divide by 2: D₁ + D₂ + D₃ = 140

- Substituting D₁ + D₂ = 80 into D₁ + D₂ + D₃ = 140 gives:

- D₃ = 140 - 80

- D₃ = 60

- Correct option: Option 4, 60

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