Question

if the HCF and LCM of 5x and 8x are 9 and 360 respectively,find value of x.

Answer 1

ANSWER-

As we know,

HCF(a,b)×LCM(a,b) = a×b

That is

The product of HCF and LCM of two numbers = the product of two numbers.

Applying this, we get

5x×8x = 9 × 360

40x² = 3240

x² = 3240/40

x² = 81

x = 9

Hence, the value of x is 9