The LCM of two numbers is 3 times their HCF. One of the numbers is 8 and the sum of the HCF and LCM is 32. What is the other number?
Given:
LCM of two numbers = 3 × HCF
One number = 8
Sum of the HCF and LCM = 32
Formula Used:
LCM = 3 × HCF
HCF + LCM = 32
Product of two numbers = HCF × LCM
Solution:
Let the HCF be x.
Then, LCM = 3x
According to the question:
x + 3x = 32
4x = 32
x = 8
So, HCF = 8 and LCM = 24
Product of the two numbers = 8 × 24 = 192
One number is 8.
Other number = 192 ÷ 8 = 24
Hence, the other number is 24.
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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 ?
Find the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
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 largest four-digit number which when divided by 9, 18 and 23, leaves a remainder 5 in each case, is:
The LCM of 26, 34, 221 and 195 is:
The LCM of two numbers is 105 and numbers are in ratio 5 : 3. Find sum of numbers.
The LCM of 44, 32, 176 and 352 is:
