Three numbers are in the ratio 5 : 7 : 9, and their LCM is 1260. What is the difference between the largest and the smallest number?
Given:
Ratio of three numbers = 5 : 7 : 9
LCM of the numbers = 1260
Formula Used:
LCM of numbers = LCM of coefficients x.
Solution:
If numbers are in a ratio a:b:c, then actual numbers are 5x, 7x, 9x.
LCM of numbers = LCM of (5,7,9) x
LCM of 5, 7, and 9 = 315
So, 315x = 1260
x =
The numbers are:
5x = 20
7x = 28
9x = 36
Difference between largest and smallest = 36 - 20 = 16
Thus, the correct option is (c) 16
English
80 Questions
160 Marks
60 Mins English English20 Questions40 Marks12 Mins English English80 Questions160 Marks60 Mins EnglishFind 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:
The LCM of 46, 68, 136 and 138 is:
The LCM of 40, 20, 195 and 160 is:
What is the highest number between 5000 and 5500, which when divided by 12,16 and 24, would leave a remainder 9?
Suggested Test Series
Suggested Test Series
