The sum of two numbers is 23. The difference of the same two numbers is 13. What are the two numbers?

Mathematics · High School · Mon Jan 18 2021

Answered on

let the two numbers are x and y in which x is first number and y is second number

given that:- sum of two numbers is 23 , it means:-

x+y=23………(1)

Difference of same numbers is 13, it means:-

x-y=13………..(2)

from equation 1 => x=23-y…..(3)

put the value of x in equation 2

(23-y)-y=23

23-y-y=23

23-2y=13

-2y=13-23

-2y=-10

2y=10

y=10/2

y=5   (second number)

put the value of y in equation 3

x=23-y

x=23-5

x=18  (first number)