The sum of two numbers is 20 and their difference is 6. Find the numbers...

Micah Mcdonald

Answered question

2023-03-06

The sum of two numbers is 20 and their difference is 6. Find the numbers A. 7 and 13 B. 8 and 12 C. 9 and 11 D. 6 and 14

Answer & Explanation

Hayden Dudley

Beginner2023-03-07Added 6 answers

Specify a and b as the number $a+b=20$ $a-b=6$ adding we get $(a+b)+(a-b)=20+6$ $a+b+a-b=26\text{}\text{}\text{}\text{}\text{}[x+(y+z)=x+y+z]$ $2a=26$ $a=13$ Subtracting we get $(a+b)-(a-b)=20-6$ $a+b-a+b=14\text{}\text{}\text{}\text{}\text{}\text{}\text{}[x-(y-z)=x-y+z]$ $2b=14$ $b=7$ Therefore, the numbers are 7 and 13