Question

Find two consecutive even numbers such that the difference of one half the larger and two fifths the smaller is equal to five.

Which equation could be used to determine the number?

Answer 1

the answer would be this  1/2(n+2)-2/5n=5

Answer 2

`(x+2)/(2)-(2x)/(5)=5`

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.

`\implies (1)/(2)* (x+2) - (2)/(5)* x = 5`

`\implies (x+2)/(2)-(2x)/(5)=5`

Which is the required equation that could be used to determine the number.