Question
A student had to find 5/12 of a certain number, but he
mistakenly calculated 3/4 of that number. His answer turned out 90 more than the correct value. Find the number.Solution
ATQ, Let the number = x Wrong answer − Correct answer = 90 x × 3/4 − x × 5/12 = 90 (3/4 − 5/12) x = 90 = ((9/12 − 5/12)) x = 90 (4/12) x = 90 (1/3) x = 90 x = 90 × 3 = 270 So, the number = 270.
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