Question
Download Solution PDFThe LCM of two numbers is 120 and the numbers are in the ratio 3 ∶ 8 The sum of the numbers will be :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The LCM of two numbers is 120 and the numbers are in the ratio 3 ∶ 8.
Concept used:
1. HCF is the largest number or quantity that is a factor of each member of a group of numbers.
2. LCM is the smallest common multiple of two or more numbers.
Calculation:
Let the numbers be 3x and 8x respectively.
Sum of the numbers = 3x + 8x = 11x
According to the question,
LCM (3x, 8x) = 120
⇒ x × 3 × 8 = 120
⇒ x = 120/24
⇒ x = 5
⇒ 11x = 55
∴ The sum of the numbers will be 55
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