Ratio, Proportion
- The ratio of two numbers is 3 : 4 and their LCM is 120. The sum of numbers is
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Numbers are : 3x and 4x
Their LCM = 12x
∴ 12x = 120⇒ x = 120 = 10 12
∴ Sum of numbers = 3x + 4x
= 7x = 7 × 10 = 70Correct Option: C
Numbers are : 3x and 4x
Their LCM = 12x
∴ 12x = 120⇒ x = 120 = 10 12
∴ Sum of numbers = 3x + 4x
= 7x = 7 × 10 = 70
- The ratio of two numbers is 3 : 4 and their LCM is 48. The sum of the two numbers is :
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Let the numbers be 3x and 4x.
∴ LCM = 12x
∴ 12x = 48 ⇒ x = 4
∴ Sum of numbers = 7x
= 7 × 4 = 28Correct Option: B
Let the numbers be 3x and 4x.
∴ LCM = 12x
∴ 12x = 48 ⇒ x = 4
∴ Sum of numbers = 7x
= 7 × 4 = 28
- Two numbers are in the ratio 3 : 5 and their LCM is 225. The smaller number is
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Let the numbers be 3x and 5x.
∴ LCM = 15x∴ 15x = 225 ⇒ x = 225 = 15 15
∴ Smaller number = 3x = 3 × 15 = 45Correct Option: A
Let the numbers be 3x and 5x.
∴ LCM = 15x∴ 15x = 225 ⇒ x = 225 = 15 15
∴ Smaller number = 3x = 3 × 15 = 45
- Two numbers are in the ratio 3 : 4 and their LCM is 180. The first number is
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If the numbers be 3x and 4x,
then their LCM = 12x∴ 12x = 180 ⇒ x = 180 = 15 12
∴ First number = 3x = 45Correct Option: D
If the numbers be 3x and 4x,
then their LCM = 12x∴ 12x = 180 ⇒ x = 180 = 15 12
∴ First number = 3x = 45
- Two numbers are in the ratio 4 : 5 and their L.C.M. is 180. The smaller number is
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Let the numbers be 4x and 5x.
Their LCM = 20x
According to the question,
20x = 180⇒ x = 180 = 9 20
∴ Smaller number
= 4x = 4 × 9 = 36Correct Option: C
Let the numbers be 4x and 5x.
Their LCM = 20x
According to the question,
20x = 180⇒ x = 180 = 9 20
∴ Smaller number
= 4x = 4 × 9 = 36
