Question

A number exceeds another number by 23 and their sum is 231 .Find the two numbers

Answer 1

104 and 127

Explanation:

let one number be n then the other number is n + 23 ( exceeds by 23 )

sum the 2 numbers, equate to 231 and solve for n

n + n + 23 = 231 ( simplify left side )

2n + 23 = 231 ( subtract 23 from both sides )

2n + 23 - 23 = 231 - 23 ( simplify both sides )

2n = 208 ( divide both sides by 2 )

`(2)/(2)` n =
`(208)/(2)` , that is

n = 104

and n + 23 = 104 + 23 = 127

the two numbers are 104 and 127