The LCM of two positive integers is thrice the larger number. The difference of the smaller number and the HCF of the two numbers is 6. The smaller number is :
Given:
The LCM of two positive integers = thrice the larger number
Difference between smaller number and HCF = 6
Formula Used:
LCM × HCF = a × b
Substitute the known values and solve.
Solution:
Let the two numbers be a (smaller) and b (larger)
LCM of the two = 3b
3b × HCF = a × b
3 × HCF = a…..(1)
Now,
a – HCF = 6
From(1)
3 × HCF – HCF = 6
2 × HCF = 6
HCF = 3
Now,
3 × 3 = a
a = 9
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English40 Questions30 Marks25 Mins EnglishFind 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.
Reduce to lowest form using HCF
Find the HCF of 3/4, 5/6, 7/8.
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ring simultaneously at 8:00 am. They will ring simultaneously again at
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ringsimultaneously at 8: 00 am. They will ring simultaneously again at :
The HCF and the LCM of two numbers are 4 and 2600, respectively. If one of the numbers is 104, find the other one.
The largest four-digit number which when divided by 9, 18 and 23, leaves a remainder 5 in each case, is:
The greatest number, which divides 1938 and 2337 to leave 0 and 3 respectively as remainders, is:
Suggested Test Series
Suggested Test Series
