Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2028. The sum of the numbers will be-
Given:
Two numbers are in the ratio 3 : 4
Product of their HCF and LCM = 2028
Formula used:
Let the numbers be 3x and 4x
Then: (3x) × (4x) = HCF × LCM = 2028
Solution:
3x × 4x = 2028
12x² = 2028
x² = 169
x = √169 = 13
Numbers = 3x = 39 and 4x = 52
Sum = 39 + 52 = 91
Correct answer is (c) 91.
English
150 Questions
150 Marks
150 Mins English English150 Questions150 Marks150 Mins English English150 Questions150 Marks150 Mins EnglishFind the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
What is the largest 4 digit number that is divisible by 3,7,11,13 ?
The number of pairs of positive integers whose sum is 99 and HCF is 9 is
Find the HCF of 2.8, 11.2 and 0.84 .
Find the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
The LCM of the numbers 3.7 and 0.068 is:
Find the Highest Common Factor (HCF) of 372, 732 and 2196.
If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
The sum of two numbers is 1580 and their LCM is 18816. Find the two numbers.
Suggested Test Series
Suggested Test Series
Find the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
What is the largest 4 digit number that is divisible by 3,7,11,13 ?
The number of pairs of positive integers whose sum is 99 and HCF is 9 is
Find the HCF of 2.8, 11.2 and 0.84 .
Find the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
The LCM of the numbers 3.7 and 0.068 is:
Find the Highest Common Factor (HCF) of 372, 732 and 2196.
If the HCF of the expressions (x + 3) (2x² – 3x + a) and (x – 2) (3x² + 10x – b) is x² + x – 6, then what is the value of (2a – 3b) ?
The sum of two numbers is 1580 and their LCM is 18816. Find the two numbers.
