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The sum of two numbers is 880,000. The difference of the numbers is 220,000. What are the numbers? Explain how you found your answer.

User Ronny Vdb
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2 Answers

15 votes
15 votes

Final answer:

To find the numbers, we can set up a system of equations. Solving the equations, we find that the two numbers are 550,000 and 330,000.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's call the two numbers x and y. The sum of the numbers is given as 880,000, so we have the equation x + y = 880,000. The difference of the numbers is given as 220,000, so we have the equation x - y = 220,000.

Now, we can solve this system of equations using the method of substitution or elimination. Let's use the method of substitution here. We can solve the second equation for x in terms of y: x = y + 220,000. Substituting this expression for x into the first equation, we get (y + 220,000) + y = 880,000. Simplifying, we have 2y + 220,000 = 880,000. Subtracting 220,000 from both sides, we get 2y = 660,000. Dividing both sides by 2, we find y = 330,000. Substituting this value of y into x = y + 220,000, we get x = 330,000 + 220,000 = 550,000. So, the two numbers are 550,000 and 330,000.

User Zuned Ahmed
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9 votes
9 votes

Let

x and y the numbers

we have that

x+y=880,000 -------> equation A

x-y=220,000 ------> equation B

solve the system of equations

solve by elimination

x+y=880,000

x-y=220,000

----------------------

2x=880,000+220,000

2x=1,100,000

x=550,000

Find the value of y

550,000+y=880,000

y=880,000-550,000

y=330,000

the numbers are

550,000 and 330,000

User Eternal Learner
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