Question
Number of faculties in Physics and Biology in an
institute is in the ratio of 2:5 respectively. If 105 more faculties join Physics, while 56 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together?Solution
Let the original number of faculties in Physics and Biology be 2x and 5x respectively According to the question, => (2x + 105)/(5x + 56) = 3/4 => 15x + 168 = 8x + 420 => x = 36 Original number of faculties = 2x + 5x = 7x = 7 × 36 = 252
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