coragrace77 coragrace77
  • 23-10-2018
  • Mathematics
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The difference of two numbers is 15. The larger number is 1 more than 3 times the smaller number. What are the two numbers?

The difference of two numbers is 15 The larger number is 1 more than 3 times the smaller number What are the two numbers class=

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mathstudent55
mathstudent55 mathstudent55
  • 23-10-2018

Answer:

7, 22

Step-by-step explanation:

Let S = the smaller number.

"The larger number is 1 more than 3 times the smaller number."

The larger number is 3S + 1.

The difference between the numbers is 15, so the larger number minus the smaller number equals 15.

3S + 1 - S = 15

2S + 1 = 15

2S = 14

S = 7

The smaller number is 7.

larger number = 3S + 1 = 3(7) + 1 = 21 + 1 = 22

The larger number is 22.


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