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The difference between two numbers is 108. Six times the smaller is equal to 7 more than the larger. What are the numbers?

User Thnee
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1 Answer

10 votes

Answer:

The smaller number is 23.

The bigger number is 131.

Explanation:

"difference" means subtraction. In this question "more than" means adding. This can be done with one variable. And would take more reasoning with the meaning of the words, but less complicated algebra.

If you are learning systems of equations in high school or college, then you may want to use two variables. The set up is way more straight forward. But then you also need strategies to solve a system of equations.

There are two solutions attached. You only need one that matches the math you are studying. see images.

The difference between two numbers is 108. Six times the smaller is equal to 7 more-example-1
The difference between two numbers is 108. Six times the smaller is equal to 7 more-example-2
User Hamza Kubba
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5.1k points