Question :
The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 750. If one number is 250, then find the other number.Submitted on 3/3/2024 | Answered by Vandana Rana
Answer :
Let the other number be aGiven:
L
C
M
+
H
C
F
=
600
LCM =14 HCF
⇒
14
H
C
F
+
H
C
F
=
600
⇒
15
H
C
F
=
600
⇒
H
C
F
=
40
⇒
L
C
M
=
14
×
40
=
560
Since HCFxLCM=Product of 2 numbers
=>
40
×
560
=
280
×
a
⇒
a
=
(40
×
560)/
280
⇒
a
=
40
×
2
⇒
a
=
80
hence the other number is
80
.