Question

If the hcf and lcm of 5x and 8x are 9 and 360 respectively find value of x

Answer 1

hcf=9

lcm=360

we know

hcf*lcm= product ab

9*360=5x*8x

40x^2=9*360

x^2=81

x=±9

as the numbers cant be negitive

so x=9

Answer 2

Answer:

The two numbers are 45 and 36

Step-by-step explanation:

Given the HCF and LCM of 5x and 8x are 9 and 360 respectively

we have to find the value of x.

The relation between HCF and LCM is written as

$LCM\times HCF=\text{Product of two numbers}$

$360\times 9=5x\times 8x$

$3240=40x^2$

Divide throughout by 40, we get

$x^2=\frac{3240}{40}=81$

Taking square root on both sides

$x=\pm 9$

x=-9 can't possible because it contradict the given information

hence, the numbers are

$5x=5\times 9=45$

$4x=4\times 9=36$

∴ The two numbers are 45 and 36