Subject
Quantitative Aptitude
Topic
LCM & HCF
The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?
The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?
ক)
63 and 49খ)
64 and 48গ)
62 and 46ঘ)
64 and 49Explanation
Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14 => x - y = 2 product of numbers = product of their hcf and lcm => 7x * 7y = 441 * 7 => x * y = 63 Now, we have x * y = 63 , x - y = 2 => x = 9 , y = 7 The numbers are 7x and 7y => 63 and 49Related questions
If HCF(a,b) = 12, LCM(a,b) = 420, and a < b, then a + b = ?The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number isThe HCF of three numbers is 8 and their LCM is 1680. If two of the numbers are 56 and 120, what is the third number?The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:What is the least number when divided by 4,5,6 leaves remainder 3 in each case?If a² - b² = 48 and ab = 140, then what is the HCF(a,b)?The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 isIf 2ⁿ × 3ᵐ × 5ᵖ = 1500, then n + m + p = ?
