Question

if hcf and lcm are a 'and b" 6 and 36 respectly then a is 12 find b​

Answer 1

Given :-

• If HCF and LCM of " a " and " b " 6 and 36 respectively then a is 12

To find :-

• Find the value of " b "

Solution :-

• HCF of numbers = 6

• LCM of numbers = 36

• One of number (a) = 12

As we know that

→ LCM × HCF = Product of two numbers

→ LCM × HCF = a × b

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

According to question

→ LCM × HCF = a × b

Substitute the values

→ 36 × 6 = 12 × b

→ 216 = 12b

→ b = 216/12

→ b = 18

Hence,

• Value of other number (b) = 18

Verification :-

• LCM × HCF = Product of two numbers

LHS = LCM × HCF

→ 36 × 6

→ 216

RHS = Product of two numbers

→ 12 × 18

→ 216

• Therefore, LHS = RHS verified