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The sum of two numbers is 51 and the difference is 13. what are the numbers

User Mark Lano
by
4.0k points

2 Answers

12 votes

Answer:

the two numbers are 19 and 32

Explanation:

let's call the numbers x and y.

write out the equations

x + y = 51

x - y = 13

simplify the second equation

x = 13 + y

substitute into the first equation and simplify

(13 + y) + y = 51

13 + 2y = 51

2y = 51 - 13

2y = 38

y = 19

substitute y for 19 in the second equation

x = 13 + y

x = 13 + 19

x = 32

User Burton Kent
by
4.1k points
6 votes

Answer:

Explanation:

19 and 32

User Alexyichu
by
4.1k points