Question

The HR & L'CM of two numb's are 45 & 270 respectively
If the ratio of two num is 2:3 and similar of the
two number is x then the find x2
​

Answer 1

HCF × LCM = Product of two no.s

HCF = 45

LCM = 270

Ratio of the two numbers = 2 : 3

I have considered the ratio to be in terms of X.

↓↓Therefore, we use formula↓↓

$45 \times 270 = 2x \times 3x$

$45 \times 270 = 6 {x}^{2}$

$\frac{45 \times 270}{6} = {x}^{2}$

$45 \times 45 = {x}^{2}$

$x = \sqrt{45 \times 45}$

$x = 45$

According to the question they asked the value of $\bold{x^{2}}$.

So,

${x}^{2} = 45 \times 45 \\ {x}^{2} = 2025$