Question

hcf= 5 and lcm= 60, if one is 15 what is the another
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Answer 1

Answer:

GIVEN :

HCF = 5, LCM = 60 and One number is 15.

FIND :

We have to find the other number.

SOLUTION :

• Let other number be M.

We know that..

\star{ \bold{ \boxed{Product\:of\:two\:numbers\: = \: LCM\:\times\:HCF}}}⋆

Productoftwonumbers=LCM×HCF

Product of two zeros = One number × Other number.

So,

One number × Other number = LCM × HCF _______ (eq 1)

Put the known values in (eq 1)

=> 15 × M = 60 × 5

=> 15M = 300

=> M = 20

_____________________________

\huge{\bold{M\:=\:20}}M=20

(Other number)

___________ [ ANSWER ]

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☆ VERIFICATION :

From above calculations we have M = 20

Put value of M in (eq 1)

=> 15 × 20 = 60 × 5

=> 300 = 300

L.H.S. = R.H.S.

Answer 2

$hcf \times lcm = product \: of \: two \: numbers$

$5 \times 60 = 15 \times x$

$x = \frac{5 \times 60}{15}$

$x = 20$