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Two numbers are in the ratio 3:4. Their LCM is 84. The greater number is ?
Answer & Solution
Correct Answer:
Option
C
Let numbers are = 3x & 4x respectively
LCM = 84 (given)
∴ LCM number = common factor (other factors)
x × 3 × 4 = 12x
⇒ 12x = 84
⇒ x = 7
∴ Number are = 3x = 7 × 3 = 21
4x = 7 × 4 = 28
greater number is 28
LCM = 84 (given)
∴ LCM number = common factor (other factors)
x × 3 × 4 = 12x
⇒ 12x = 84
⇒ x = 7
∴ Number are = 3x = 7 × 3 = 21
4x = 7 × 4 = 28
greater number is 28
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