if HCF and LCM of two numbers are 6 and 60 respectively then find the two number s.
Answers
Answered by
1
The LCM and HCF of two numbers are 12 and 72, and the addition of two numbers is 60. What are the numbers?
Still have a question? Ask your own!
What is your question?
Ad by Blockchain Council
The demand for Blockchain developers is skyrocketing.
Become a certified blockchain developer and kick start your career in blockchain technology.
Learn More
7 ANSWERS

Kartik Dolas, Student
Answered Jul 26, 2017 · Author has 102answers and 40.6k answer views
Let the two numbers be x and y.
We know that.. product of two numbers = HCFx LCM.
Therefore XY= 12 x 72= 864….(1)
According to given condition, their sum is 60
Therefore x+y = 60……….(2)
We know that
(x-y)² =(x+y)² -4xy
Substitute values from 1 & 2
(X-y)² = 3600–4x864=144
X-Y =√144= 12…(3)
By solving 2 and 3
We get x=36 and y=24.
Still have a question? Ask your own!
What is your question?
Ad by Blockchain Council
The demand for Blockchain developers is skyrocketing.
Become a certified blockchain developer and kick start your career in blockchain technology.
Learn More
7 ANSWERS

Kartik Dolas, Student
Answered Jul 26, 2017 · Author has 102answers and 40.6k answer views
Let the two numbers be x and y.
We know that.. product of two numbers = HCFx LCM.
Therefore XY= 12 x 72= 864….(1)
According to given condition, their sum is 60
Therefore x+y = 60……….(2)
We know that
(x-y)² =(x+y)² -4xy
Substitute values from 1 & 2
(X-y)² = 3600–4x864=144
X-Y =√144= 12…(3)
By solving 2 and 3
We get x=36 and y=24.
Answered by
0
a×b=l×h
ab=6×60=360
let them he numbers be 6a and 6b
lcm of 6a and 6b=6ab
ab=360/6=60
1,60 2,30
ab=6×60=360
let them he numbers be 6a and 6b
lcm of 6a and 6b=6ab
ab=360/6=60
1,60 2,30
Similar questions