The Least Common Multiple and Highest Common Factor of two numbers are 60 and 4 respectively. If their sum is 32, then what will be the difference of these two numbers?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 8
HCF = 4 (given), LCM = 60 (given)
suppose 2 numbers are 4x and 4y
LCM × HCF = Product of 2 numbers
⇒ 4 × 60 = 4x × 4y
⇒ 15 = x × y ..... (1)
⇒ 4x + 4y = 32
4(x + y) = 32 , x + y = 8 ...... (2)
By hit and trial method x = 5 , y = 3
Two numbers are 4x and 4y i.e 20 and 12
Difference of two numbers are 20 - 12 = 8.