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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