the sum of two rational numbers of 63, and their difference is 12? What are the numbers?

Mathematics · Middle School · Wed Jan 13 2021

Answered on

Let the larger number be x 

And, smaller number be y

Then, according to question 

x + y = 63        ….1

x - y = 9           ….2

adding equation 1 and 2, we get

x + y + x - y = 63 + 9

2x = 72

x = 72/2 

x = 36

Putting value of x in equation 1

36 + y = 63

y = 63 - 36

y = 27

 

Hence, two numbers are 36 and 27.