Question

sum of two numbers is 56 and their lcm is 105 find the numbers

Answer 1

hey here is your answer..

Two number "21" and "35"

according to question..

21+35=56

and their lcm = 105

hence the correct answer is "21" and "35"

I hope it will help you..

Answer 2

21   & 35  are the numbers whose sum  is 56 and their lcm is 105

Step-by-step explanation:

sum of two numbers is 56 and their lcm is 105

Let say Numbers are

ak   bk

k is HCF  of  Numbers

ak  + bk = 56

(a + b)k = 56

=> k = 56/(a + b)

LCM  = a*b*k  = 105

=> k = 105/ab

56/(a + b) = 105/ab

=> 56ab = 105(a + b)

=> 8ab = 15(a + b)

=> 3ab + 5ab = 15a  + 15b

a & b are 3 & 5

k = 105/ab

=> k = 7

Numbers are  21   & 35

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