How old is Victor?

Samuel is 4 times Victor's age. In 12 years, Samuel will only be 2 times Victor's age. How old is Victor now?

x = samuel

y = victor

\(\begin{array}{lrcll} (1) & 4\cdot y &=& x \quad & | \quad :4 \\ & y &=& \frac{x}{4} \\\\ (2) & (x+12) &=& 2(y+12) \quad & | \quad y = \frac{x}{4} \\ & (x+12) &=& 2(\frac{x}{4}+12) \\ & x+12 &=& 2\cdot \frac{x}{4} +2\cdot 12 \\ & x+12 &=& 2\cdot \frac{x}{4} +24 \\ & x+12 &=& \frac{x}{2} +24 \quad & | \quad -\frac{x}{2} \\ & x-\frac{x}{2}+12 &=& 24 \quad & | \quad -12 \\ & x-\frac{x}{2} &=& 24-12 \\ & x-\frac{x}{2} &=& 12 \\ & \frac{x}{2} &=& 12 \quad & | \quad \cdot 2 \\ & x &=& 12 \cdot 2 \\ & \mathbf{ x } & \mathbf{=} & \mathbf{24} \\\\ & y &=& \frac{x}{4} \quad & | \quad x = 24 \\ & y &=& \frac{24}{4} \\ & \mathbf{ y } & \mathbf{=} & \mathbf{6} \\\\ \end{array}\)

Samual was 24 and Victor was 6.

Now Samual is 24+12= 36 and Victor is 6+12= 18 years old.

Samuel is 4 times Victor's age. In 12 years, Samuel will only be 2 times Victor's age. How old is Victor now?

If Victors's age today=V, then

Samuel's age will be =4V

4V - 12=2V

V=6 Victor's age today

6 x 4=24 Samuels' age today.

6 +12 =18 Victor's age 12 years from now

24 + 12=36 Samuels' age 12 years from now.