SOLUTION: The sum of two numbers is 94. The second is 6 more than 3 times the first. What are the two numbers?

Algebra ->  Equations -> SOLUTION: The sum of two numbers is 94. The second is 6 more than 3 times the first. What are the two numbers?      Log On


   

Question 106699: The sum of two numbers is 94. The second is 6 more than 3 times the first. What are the two numbers?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of two numbers is 94.
let numbers be x and y, then:
x%2By+=+94
if the second is 6 more than 3 times the first, we have:
3x+%2B+6+=+y
then, we can substitute this in equatation above:
x+%2B+y+=+94
x+%2B+3x+%2B+6+=+94
4x+%2B+6+=+94......add -6 to both sides
4x+%2B6+-%286%29+=+94+-+%286%29
4x+=+88 ..divide both sides by 4
x+=+22 ........ first number
y+=+3x+%2B+6
y+=+3%2A22+%2B+6
y+=+66+%2B+6
y+=+72
check:
22+%2B+72+=+94
94+=+94