Each of the 90 staff of an Ahmedabad office speaks at least one of Gujarati, Hindi and English. The Hindi circle and the English circle have the same total, and x is unknown. What number replaces the ?

Question

Accepted Answer

23. Known parts: 20 + 6 + 8 + 5 + 3 = 42, so x + ? = 48. Hindi total = x + 14 and English total = ? + 16; equal totals give x = ? + 2. Then 2? + 2 = 48, so ? = 23 (and x = 25). 25 is x, 24 just halves 48, and 39 is the English total.

Each of the 90 staff of an Ahmedabad office speaks at least one of Gujarati, Hindi and English. The Hindi circle and the English circle have the same total, and $x$ is unknown. What number replaces the ?

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