The sum of two numbers is 24. One number is twice the other. Find the two numbers.

Wacha namba mbili ziwe $x$ na $y$.
Kutoka taarifa ya kwanza: Jumla ya namba mbili ni 24.

$$x + y = 24 \quad \text{(Mlinganyo 1)}$$

Kutoka taarifa ya pili: Namba moja ni mara mbili ya nyingine.

$$x = 2y \quad \text{(Mlinganyo 2)}$$

Badilisha $x$ katika Mlinganyo 1 na $2y$:

$$(2y) + y = 24$$

Unganisha $y$ na utatue:

$$3y = 24$$

Gawanya pande zote mbili kwa 3:

$$y = \frac{24}{3}$$ $$y = 8$$

Tumia thamani ya $y = 8$ katika Mlinganyo 2:

$$x = 2y$$ $$x = 2(8)$$ $$x = 16$$

Namba hizo mbili ni 16 na 8.

Namba za kwanza ni: $\boxed{16}$
Namba ya pili ni: $\boxed{8}$