Question

Hcf and lcm of 180 and x is 18 and 360 find then x

Answer 1

Answer:

Step-by-step explanation:

hcf (180,x)×lcm(180,x) =180 × x

⇒ 18×360 =180x

⇒x =18×360 ÷180

⇒x =36

Answer 2

Answer:

No solution.  This scenario cannot occur!

Step-by-step explanation:

In general,  hcf(a,b) × lcm(a,b) = ab.

So here we have

180x = hcf(180, x) × lcm(180, x) = 18 × 360

=> x = ( 18 × 360 ) / 180 = 360 / 10 = 36.

So IF any value is going to work then this must be it.

However, this value does not work since it does not satisfy the given information:  hcf(180, 36) = 36,  NOT 18;  and lcm(180, 36) = 180,  NOT 360.

Therefore there is no such value x.