The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 1560 . If one of the numbers is 120 , then find the other number. - Quantitative Aptitude MCQ Competitive Exam Practice 2026 | ExamTest.live

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The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 1560 . If one of the numbers is 120, then find the other number.

Solution & Step-by-step Explanation

Let HCF be H and LCM be L . Given: 1. L = 12 H 2. L + H = 1560 Substituting (1) into (2): 12 H + H = 1560 13 H = 1560 H = 120 Then, L = 12 \times 120 = 1440 . We know: Product of numbers = HCF \times LCM Let the numbers be n_{1} and n_{2} . 120 \times n_{2} = 120 \times 1440 n_{2} = 1440 The other number is 1440 .

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The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 1560 . If one of the numbers is 120, then find the other number.

1440

1390

1250

720

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