the sum of two numbers is 35. the smaller number is 21 less than the larger number. What are the numbers?​

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Answer: 28 and 7.

x - the bigger number,

(x-21) - the smaller number

35 - the sum of numbers

x + (x - 21) - the sum of numbers

 

The equation:

x + x - 21 = 35 

Add 21 to both sides:

x + x - 21 = 35 + 21

2x = 56 

Divide both sides by 2:

2x/2 = 56/2

x = 28

x - 21 = 7