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 a

Given:
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
.