Question

Hcf of two number is 13 and lcm is 273 find the sum of two number

Answer 1

Answer:

130

Step-by-step explanation:

Since HCF is 13, the numbers can be written as 13m and 13n

LCM = 273.

We know that product of two numbers is same as the product of their LCM and HCF

So 13m x 13n = 13x273

mn=21

So the possible values of (m,n) are (1,21) , (21,1) , (3,7) or (7,3)

Case 1:

(m,n) is (1,21) or (21,2)

Then numbers are 13 and 273

so the sum is 13+273=286

Case 2:

(m,n) is (3,7) or (7,3)

Then numbers are 39 and 91

So the sum is 130