the lcm of two numbers is 14 times their hcf. the sum of hcf and lcm is 600. if one number is 280, then find the number
Answers
Answered by
4
Let the H.C.F be x
Let the L.C.M = 14x
x + 14x = 600
15x = 600
X = 40
HCF = 40
LCM = 14 X 40 = 560
Other number = 560×40280=80
abbiarunpbdowq:
Last line not clear
Answered by
5
Let the HCF be x.
therefore LCM is equals to 14 x
x+14x=600
15x=600
x=40. therefore HCF is equals to 40
and LCM is equals to 40 X 14.
now,
HCF×LCM=a×b. ( a and b are the two numbers)
40×560=280×b
40×560/280=b
b=80
so therefore the other number is 80.
therefore LCM is equals to 14 x
x+14x=600
15x=600
x=40. therefore HCF is equals to 40
and LCM is equals to 40 X 14.
now,
HCF×LCM=a×b. ( a and b are the two numbers)
40×560=280×b
40×560/280=b
b=80
so therefore the other number is 80.
Similar questions
Physics,
7 months ago
Math,
7 months ago
Math,
7 months ago
Chemistry,
1 year ago
Biology,
1 year ago
Political Science,
1 year ago
English,
1 year ago
Social Sciences,
1 year ago