Question
Rakesh can complete a work in 'X + 12' days. While
Shikha can complete the same work in 'X + 27' days. If they can complete the work together in 'X' days, then what is the value of 'X + 27'?Solution
1/(X + 12) + 1/(X + 27) = 1/X (X + 27 + X + 12)/(X + 12)(X + 27) = 1/XX × (2X + 39) = (X + 12)(X + 27) 2X2 + 39X = X2 + 39X + 324 X2 = 324 X = 18 X + 27 = 18 + 27 = 45
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