Solve by step deviation method

Dear student

H e r e, A = 42.5, h = 5, N = \sum_{} f_{i} = 52 + x + y A n d 52 + x + y = 100 \Rightarrow x + y = 48 \Rightarrow x = 48 - y M e a n = A + h \{\frac{\sum_{} f_{i} u_{i}}{N}\} \Rightarrow 43 = 42.5 + 5 (\frac{2 - x + y}{52 + x + y}) \Rightarrow 0.1 = \frac{2 - x + y}{52 + x + y} \Rightarrow 5.2 + 0.1 x + 0.1 y = 2 - x + y \Rightarrow 3.2 = - 1.1 x + 0.9 y \Rightarrow 3.2 = - 1.1 (48 - y) + 0.9 y \Rightarrow 3.2 = - 52.8 + 2 y \Rightarrow y = 28 a n d x = 20

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