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1. The ratio of two numbers is 3:4 and their LCM is 84, find the number-
- A. 28
- B. 28
- C. 28
- D. 28
Answer: Option A
Explanation:
Given:
Ratio of two numbers = 3 : 4
LCM of two numbers = 84
Concept used:
LCM (Least Common Multiple) of 2 numbers is the smallest number which can be divided by both the numbers.
Calculation:
Let the two numbers be 3K and 4K.
LCM = 3 × 4 × K = 12K
বা, 12K = 84
বা, K = 7
Two numbers are
বা, 3K = 3 × 7 = 21 and,
বা, 4K = 4 × 7 = 28
∴ The greatest number of the 2 numbers is 28.
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