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 03/03/2024
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
.