SOLUTION: Please help me solve this question : The sum of two numbers is 97. The larger number is one more than three times the smaller number. Find the numbers.

Question 274583: Please help me solve this question :
The sum of two numbers is 97. The larger number is one more than three times the smaller number. Find the numbers.
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
Please help me solve this question :
The sum of two numbers is 97. The larger number is one more than three times the smaller number. Find the numbers.
Let x be the smaller number and y the larger.
Then we are given;
1.) x + y = 97
2.) y = 3*x + 1
From 1.) we know that y = 97 - x so we can "substitute" 97 - x for y in equation 2.):
97 - x = 3*x + 1
Solve the equation above for x and then calculate y = 97 - x.
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