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. 

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.