Question

Let the hcf & lcm of of two natural numbers a, b be 6 and 36 respectively and a + b = 42, then a - b is
equal to

Answer 1

it is hcf and lcm

Answer 2

hcf =gcd (greatest common devisor ) right ?

Answer 3

lcm(a,b)=a*b/gcd(a,b)
36=ab/6
ab=216

Answer 4

a=216/b
a=42-b

216/b=42-b
216=42b-b^2

b^2-42+216=0 (solve for b)

Answer 5

b^2-42b+216=0 (solve for b)

Answer 6

(b-36)(b-6)=0
b=36
or b=6

case 1
b=36
a=216/36=6
a-b=-30

case 2
a=36
b=216/36=6
a-b=30

Answer 7

@ganeshie

Answer 8

add 8 to tag him :P

Answer 9

like this @ganeshie8