Question

BY WHAT NO. WE SHOULD MULTIPLY -8/18 SO THAT PRODUCT BECOMES 24?

Answer 1

Let x be the unknown number.

Here, it's asked that, by what number, should we multiply $\frac{-8}{18}$ so that the product becomes 24?

It means that, another number, when we multiply it with $\frac{-8}{18}$, so the product will be 24.

So, we've to form an equation according to the given conditions.

So, according to the given condition,

$\frac{-8}{18} \times x = 24$

$\implies - 8 \times x = 24 \times 18$

$\implies - 8x = 432$

$\implies x = \frac{432}{-8}$

$\implies x = \frac{-432}{8}$

$\boxed{\bold{\implies x = - 54}}$

So, we should multiply - 54 with $\frac{-8}{18}$ so that, the product will be 24.

But is this number : -54 is correct? Let's check out!

Verification:

Substituting x = - 54 in the equation: $\frac{-8}{18} \times x = 24$

$\frac{-8}{18} \times x = 24$

$\frac{-8}{18} \times - 54 = 24$

$\frac{-8}{\cancel{18}} \times \cancel{-54} = 24$

$- 8 \times - 3 = 24$

24 = 24

$\fbox{\bold{\mathsf{L.H.S = R.H.S}}}$

Therefore, the unknown number which should be multiplied with $\frac{-8}{18}$ so that, the product will be 24 is - 54.