Question

If the sum of squares of two numbers is 2754 and their hcf and lcm are 9 and 135

Answer 1

Answer:

45 and 27

Step-by-step explanation:

As we know product of two nos.=their H.C.F*L.C.M

So,x*y=135*9=1215

and x^2+y^2=2754

So,(x+y)^2=x^2+y^2+2*x*y

=2754+2*1215=5184

So,x+y=72

Now on solving,the nos. are 45 and 27

Answer 2

Answer:

Step-by-step explanation:since the hcf is 9, both the numbers are multiples of 9 so,

m×n=Hcf × lcm

9m× 9n=9 ×135

mn=15

m =3,n= 5 or m=5,n=3

Hcf × 3 = m

9×3=27, 9×5=45

Ans is 27 and 45