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Difference of two numbers is 166. The sum of the same two numbers is 234. What are the two numbers?

2 Answers

4 votes
The answers are X= 100 and Y= 134
User Skaurus
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4 votes

Answer:

The numbers are 100 and 234

Explanation:

Let the numbers be x and y

The statement

difference of two numbers is 166 is written as

x - y = 166.......... Equation 1

The sum of the same two numbers is 234 is written as

x + y = 234 ............. Equation 2

Solve the equations simultaneously

Add both equations 1 and 2

That's

x + x + y - y = 166 + 234

2x = 400

Divide both sides by 2

x = 100

Substitute the value into the first equation

That's

100 + y = 234

y = 100 - 234

y = 134

The numbers are 100 and 234

Hope this helps you

User TheProletariat
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5.1k points