Question

HCF and LCM of two numbers are 100 and 2800.Find the other number if one of the number is 700.

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Answer 1

Given :-

• HCF and LCM of two numbers are 100 and 2800. If one of the number is 700.

To find :-

• Other number

Solution :-

• HCF of two numbers = 100

• LCM of two numbers = 2800

• One of the number = 700

As we know that

→ LCM × HCF = Product of two numbers

→ LCM × HCF = a × b

Where " a " is first number and " b " is second number.

• According to question

→ LCM × HCF = a × b

→ 2800 × 100 = 700 × b

→ 280000 = 700b

→ b = 280000/700

→ b = 400

Hence,

• Other number is 400

Verification :-

• LCM × HCF = a × b

→ 2800 × 100 = 700 × 400

→ 280000 = 280000

• Therefore verified

Answer 2

Answer:

• Other number is 400.

Step-by-step explanation:

Given that,

• HCF of two numbers is 100.
• LCM of two numbers is 2800.
• One of the number is 700.

Let, One number be "R" and other number be "N".

As we know that,

LCM × HCF = Product of two numbers

.°. LCM × HCF = R × N

➡ 2800 × 100 = 700 × N

➡ 280000 = 700N

➡ N = 280000/700

➡ N = 400.

Verification:

✒ LCM × HCF = R × N

➡ 2800 × 100 = 700 × 400

➡ 280000 = 280000

Hence Verified !!