Question
When x is added to each of 2, 3, 30 and 35, then the
numbers obtained in this order are in proportion. What is the second largest part in the proportion?Solution
Let the numbers be (2+x), (3+x), (30+x), (35+x). Given they are in proportion: (2+x)/(3+x) = (30+x)/(35+x) Cross-multiply: (x+2)(x+35) = (x+3)(x+30) x² + 37x + 70 = x² + 33x + 90 4x = 20 → x = 5 Parts: 2+5=7, 3+5=8, 30+5=35, 35+5=40 Second largest = 35.
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