Question

The greatest common divisor of two numbers A and B is 22. The least common multiple of A and B is 2002, if A has fewer divisors B, what is A + B?

Answer 1

Answer:

The sum of both the numbers is 440.

Step-by-step explanation:

Since the gcd of both the number is 22

Hence A= 22x

B = 22y

The lcm of both the numbers is 2002

Hence 22xy = 2002

So xy = 2002/22 = 91 = 7 * 13

Hence A = 22x7 = 154

B = 22x13 = 286

Hence

A+B = 154 + 286 = 440

Hence the sum of both the numbers is 440.

Answer 2

Answer : $\bold{A + B = 440}$


Explanation - 

GCD = 22

So, A = 22x and. B = 22y 

LCM = 2002 

So, 22xy = 2002 

xy = 2002/22 

xy = 91 

xy = 7 * 13. 

x = 7 

y = 13. 


Finding the Value of numbers - 

A = 22x = 22(7) = 154 

B = 22y = 22(13) = 286 


Finding the Sum - 

A + B = 154 + 286 = 440 



Hence: 

Answer : A + B = 440