Question

The sum of two number is 60 and the difference of two number is 10.What is the greater number?

Answer 1

The larger number is 35

Explanation:

let l be the larger number
let s be the smaller number

`l + s = 60`
`l - s =10` The sum of the two equations is
`2l = 70` divide both sides by 2

`( 2l)/2 = 70/2`

`l = 35`

Answer 2

The greater number is `35`

Explanation:

We can define the two numbers using one variable.

Let the smaller number be `x`
The larger one is `10` more, so: `x+10`

Their sum is `60`

`x+x+10 = 60`

`2x = 60-10`

`2x = 50`

`x=25`

The smaller number is `25` and the larger is `25+10 = 35`