20:X=8:14
You asked:
Solve \(20 : X=8 : 14\) for the variable \(X\).
MathBot Answer:
$$\begin{aligned}X &= 35\end{aligned}$$
Express both ratios as fractions. \[\frac{20}{X} = \frac{8}{14}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{20}{X} &= \frac{8}{14} \\ 280 &= 8 X \\ X &&= 35 \end{aligned}$$