Question

The HCF and LCM of TWO NUMBERS are 9 and 360 respectively. If FIRST NUMBER is 45, FIND THE SECOND NUMBER. [USE THE FORMULA]. HCF=9; LCM=360; "FIRST" NO. =45; "SECOND"NO.=?​

Answer 1

Answer:

72 is ths answer

Step-by-step explanation:

there is a formula for this ...

hcf × lcm = number1 × number2

so

Applying to this formula ..we get :

9× 360 = 45 × number2

number2 = ( 9 × 360 ) / 45

number2 = 72

Answer 2

Given :-

• The HCF and LCM of two numbers are 9 and 360 respectively. If first number is 45

To find :-

• Second number

Solution :-

• HCF of two numbers = 9

• LCM of two numbers = 360

• One of number = 45

As we know that

→ LCM × HCF = Product of two numbers

→ LCM × HCF = First number × second number

→ LCM × HCF = a × b

Put the values

→ 360 × 9 = 45 × b

→ 3240 = 45b

→ b = 3240/45

→ b = 72

Hence,

• b = 72
• So, second number is 72

Verification :-

• LCM × HCF = Product of two numbers

→ 360 × 9 = a × b

→ 3240 = 45 × 72

→ 3240 = 3240

• Therefore verified