Question : The LCM of two numbers is 120 and the numbers are in the ratio 3 : 8. The sum of the numbers will be:
Option 1: 48
Option 2: 55
Option 3: 45
Option 4: 60
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Correct Answer: 55
Solution : Let the numbers be $3x$ and $8x$. LCM of ($3x$, $8x$) = 3 × 8 × $x$ ⇒ 120 = $24x$ ⇒ $x$ = 5 Sum of numbers = $3x+8x$ = $11x$ = 55 Hence, the correct answer is 55.
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Question : The HCF and LCM of the two numbers are 21 and 84, respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:
Question : What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?
Question : The sum of the two numbers is 18 and their HCF and LCM are 3 and 54, respectively. What will be the sum of their reciprocals?
Question : Two numbers whose sum is 84 cannot be in the ratio of:
Question : The sum of the cubes of two numbers is 793. The sum of the numbers is 13. Then the difference between the two numbers is:
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