Question

the lcm of two number greater than 23 is 1771 and hcf is 23 then sum of these number is

Answer 1

Answer:

414

Step-by-step explanation:

Given the lcm of two number greater than 23 is 1771 and hcf is 23 then sum of these number is

Let a and b be co primes and the numbers be 23 x and 23 y

LCM x HCF = product of two numbers.

23 x  X 23 y = 1771 x 23

529 xy = 40733

 xy = 40733 / 529

xy = 77 = 11 x 7

So the numbers are 23 x 11 and 23 x 7

                  = 253 and 161

Their sum will be 253 + 161 = 414