Question

The sum of hcf and lcm of two numbers is 680 andlcm is84 times the hcf if one number is56 then the other is

Answer 1

let the hcf should be x and lcm 84x 
680=x+84x
680=85x
680/85=x
8=x
8*84=lcm
672
lcm*hcf=xy
8*672=x*56
8*672/56=x
96=x

Answer 2

Answer:

Step-by-step explanation:

Let a and b are the two numbers and also let hcf of two numbers be=x, then the lcm of the two numbers=84x.

From the given statement, we get

$x+84x=680$

$85x=680$

$x=8$

Therefore, hcf of the two numbers=x=8 and lcm of the two numbers=84x=84(8)=672.

Now, $lcm{\times}hcf=Productof two numbers$

$672{\times}8=56b$

$\frac{672{\times}8}{56}=b$

$b=96$

Thus, the other number is 96.