18.4k views
3 votes
The sun of two number is 23. Their difference is 9. Write a system of equations to represent the situation. What are the two numbers?

User Ash Furrow
by
7.7k points

2 Answers

0 votes
x+y=23
x-y=9
subtract the second from the first and you get 2y=14
Divide 2 from both side so y=7
and since x+7=23, x=16
so the final answer is x=16, y=7
User Kraang Prime
by
8.3k points
0 votes
Let one number be x
and second number be y
ATQ
x + y = 23 ---> 1st equation
similarly,
x - y = 9 ----> 2nd equation
( adding y on both sides )
x = 9 + y -----> 3rd equation
Substituting 3rd equation in 1st equation or substituting value of x in 1st equation.
9 + y + y = 23
( adding like terms on each side)
9 + 2y = 23
( subtracting 9 from both sides)
2y = 23 - 9
2y = 14
( Dividing 2 from both sides )
y = 7

Substituting value of Y in 1st equation
x + 7 = 23
( subtracting 7 from both sides )
x = 16

So, two numbers are 7 & 16
or
x = 16 & y = 7

Hope this helps you :)
User Simone Avogadro
by
8.4k 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