The sum of two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equa - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live

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The sum of two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:

Solution & Step-by-step Explanation

Let the greater number be x and the smaller number be y .Given: x + y = 450 ⟹ x = 450 - y — (Equation 1) According to the given condition: x \times (1 - \frac{4}{100}) = y \times (1 + \frac{20}{100}) x \times \frac{96}{100} = y \times \frac{120}{100} 96 x = 120 y 4 x = 5 y — (Equation 2) Substitute Equation 1 into Equation 2: 4 (450 - y) = 5 y 1800 - 4 y = 5 y 9 y = 1800 y = 200 The smaller number is 200.

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The sum of two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:

176

200

164

144

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