The hcf of two numbers is 23 and then lcm is 1449, if one of the number is 207 then find the other.
Question
The hcf of two numbers is 23 and then lcm is 1449, if one of the number is 207 then find the other.
in progress
0
Mathematics
1 year
2021-07-17T14:23:17+00:00
2021-07-17T14:23:17+00:00 2 Answers
0 views
0
Answers ( )
let the two no. be a and b.
Given:
HCF =23 and LCM =1449
We know that:–
a×b=hcf×lcm
207×b=23×1449
So the answer is 161
For checking:–
if we find the HCF of 207 and 161=23
if we find the LCM of 207 and 161=1449
so our answer is correct.
According to the question ,
Let the other numbers be x .
One of the number is 207.
We have to find the value of x .
We know that,
H.C.F × L.C.M. = a × b
➝ 23 × 1449 = 207 × b
➝ 33327 = 207 × b
➝ 33327/207 = b
➝ 161 = b
The other number is 161 .