66.1k views
2 votes
The sum of two numbers is 56. their difference is 18. find the two numbers. (56, 18). (42, 14). (37, 19). (34, 22).

1 Answer

2 votes

Answer:

(37, 19 )

Explanation:

let x and y be the two numbers , with x greater than y , then

x + y = 56 → (1)

x - y = 18 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 56 + 18

2x + 0 = 74

2x = 74 ( divide both sides by 2 )

x = 37

substitute x = 37 into (1)

37 + y = 56 ( subtract 37 from both sides )

y = 19

the two numbers are (37, 19 )

User Juunas
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories