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The difference of two numbers is 34 and their sum is 338

User Quima
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2 Answers

2 votes

Final answer:

The question involves simple algebra to find two numbers with a given sum and difference. The solution involves adding equations to eliminate one variable and solving for the other. The two numbers are found to be 186 and 152.

Step-by-step explanation:

The question pertains to finding two numbers given that the difference of the numbers is 34 and their sum is 338.

Let's denote the two unknown numbers as x and y. According to the problem, x - y = 34 and x + y = 338. To solve these equations simultaneously, you can add them together to eliminate y.

Adding x - y = 34 and x + y = 338 gives 2x = 372. Dividing both sides by 2 gives x = 186. Now, using the second equation x + y = 338 and substituting x with 186 gives 186 + y = 338. Subtracting 186 from both sides of the equation gives y = 152.

Therefore, the two numbers are 186 and 152.

User David Merrilees
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8.8k points
7 votes
x-y=34
x+y=338

We can use elimination in this problem.

2x=372
x=186

186+y=338
y=338-186
y=152
User Teedyay
by
7.8k points

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