Question

A number, half of that number, and one-fifth of that number are added. The result is 17. What is the original number?

Answer 1

10

Explanation:

x +
`(x)/(2)` +
`(x)/(5)` = 17 Multiply both sides by 10

10x + 5x + 2x = 170

17x = 170

x = 10

Answer 2

10

Explanation:

x+1/2(x)+1/5(x)=17

x is your unknown, so try to get it by itself

first step: combine like terms

1.7x=17

second step: divide both sides by 1.7

1.7x/1.7=17/1.7

third step: simplify

x=10