Question

The HCF and LCM of two numbers are 15 and 315 respectively if one of the number is 105 and find the other number

Answer 1

Answer:

45

Step-by-step explanation:

LCM =315

HCF =15

One number =105

HCF *LCM /Other number

15*315/105 = 45

Answer 2

GivEn:-

$\bigstar$ HCF and LCM are 15 and 315 .

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To FiNd:-

$\bigstar$ If one number is 105 so what is the another number?

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HoW toSolVe?

• Here we have to find another number so we can assume that another number will be x.
• Now in question it is given that sum is related to HCF and LCM so by recognising and analysing the formula and concept related to the topic we will reach the root of the problem
• And hence go ahead to solve if necessary then all is we are done✓

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ConStrucTioN:-

By the given formula we can relate this sum.

${\pink {\boxed {\boxed {\tt{HCF \times LCM = Product \ of \ two \ numbers}}}}}$

Now according to formula plug the values!!

Assume another number = x

$\mapsto \tt 15 \times 315 = 105 \times x \\ \\ \mapsto \tt x = \dfrac{105}{315 \times 15} \\ \\ \mapsto \tt x = {\cancel{\dfrac{105}{315 \times 15}}} \\ \\ \mapsto \tt 45$

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AnsWeR:-

$\sf {\red {\boxed {\boxed {=45}}}}$

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Additional Information:-

• HCF is highest common factor in which only the most common and selected numbers get multiply to know the HCF
• LCM is least common multiple in which all number are multiplied but common numbers are taken as common only . we can relate LCM with HCF by some equations.!!

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