Question
An integer 'p' is added to each of 8, 14, 30 and 40 so
that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4)'.Solution
Let 'p' be the number that must be added to each of the given numbers so that they become proportional. i.e. (8 + p) :(14 + p) ::(30 + p) :(40 + p) So, (8 + p) á (14 + p) = (30 + p) á (40 + p) Or, (8 + p) (40 + p) = (30 + p) (14 + p) Or, 320 + 8p + 40p + p2 = 420 + 30p + 14p + p2 Or, 320 + 48p = 420 + 44p Or, 4p = 100 Or, 'p' = 25 Required value = p + 4 = 25 + 4 = 29
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