Question

Write an equation for each sentence and then solve. 35 less than half a number equals 14. What is the number?

Answer 1

the number is 98

Explanation:

let the number be n , then half the number is
`(1)/(2)` n and 35 less than this is

`(1)/(2)` n - 35

now equate this expression to 14

`(1)/(2)` n - 35 = 14 ( add 35 to both sides )

`(1)/(2)` n - 35 + 35 = 14 + 35 ( simplify both sides )

`(1)/(2)` n = 49 ( multiply both sides by 2 to clear the fraction )

2 ×
`(1)/(2)` n = 2 × 49 , that is

n = 98

the number is 98