SOLUTION: The difference of two numbers is 34. The second is 4 less than 3 times the first. What are the two numbers? The sum of two numbers is 92. The second is 4 more that 3 times t

Question 40859This question is from textbook beginning algebra
: The difference of two numbers is 34. The second is 4 less than 3 times the first. What are the two numbers? The sum of two numbers is 92. The second is 4 more that 3 times the first what are the two numbers? This question is from textbook beginning algebra

Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Let first number = x and second number = y.
Their sum: x + y = 34 _________(1)
3 times first number: 3x
So the equation becomes y = 3x - 4 _________(2)
Put the value of y from (2) in (1); then you find
x + (3x - 4) = 34
or 4x = 34 + 4 = 38
or x = 38/4 = 19/2
So from (2), y = 49/2
Thus the numbers are 19/2 & 49/2 respectively.

Try the next one yourself exactly as the above solution.
The equations are: x + y = 92 & y = 3x + 4.
Answer: The numbers is 22 & 70.
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