Answer:
[tex]\frac{x+2}{2}-\frac{2x}{5}=5[/tex]
Step-by-step explanation:
Let x be the smaller even number,
⇒ The larger even number which is consecutive to x = x - 2,
Since, the difference of one half the larger and two fifths the smaller is equal to five.
[tex]\implies \frac{1}{2}\times (x+2) - \frac{2}{5}\times x = 5[/tex]
[tex]\implies \frac{x+2}{2}-\frac{2x}{5}=5[/tex]
Which is the required equation that could be used to determine the number.
