3/4th of a number exceeds its 2/3rd by 8. What is the number?
Question
3/4th of a number exceeds its 2/3rd by 8. What is the number?
Solution
Sure, let's solve this step by step:
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Let's assume the number we are looking for is X.
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According to the problem, 3/4th of the number (which is 3/4X) exceeds 2/3rd of the number (which is 2/3X) by 8.
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We can write this as an equation: 3/4X = 2/3X + 8
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To solve for X, first we can get rid of the fractions by multiplying the entire equation by 12 (which is the least common multiple of 4 and 3). This gives us: 9X = 8X + 96
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Subtract 8X from both sides to get: X = 96
So, the number we are looking for is 96.
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