Question
A student was supposed to find 2/9 of a number, but he mistakenly found 7/9 of it. His answer came out 150 more than the correct answer. What is the number?
Solution
ATQ, Let the number = x Wrong answer − Correct answer = 150 x × 7/9 − x × 2/9 = 150 (7/9 − 2/9) x = 150 (5/9) x = 150 x = 150 × 9 / 5 x = 30 × 9 = 270 So, the number = 270.
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