Question #72cb2
2 Answers
The sum of the two integers is
Explanation:
One positive integer is 3 greater than 4 times another positive integer.
Let the second positive integer be
So, the first positive integer will be :
Now product of theses two is given to be 76, so:
Solving this quadratic equation:
We need to find two such numbers whose sum is equal to the coefficient of the middle term (i.e.
Two such numbers are : 19 and -16
But as mentioned in the question statement, the integers are positive . so we will consider
So. the second integer is
Cross check
And, the sum 4 and 19 = 23
Answer : Sum of the two integers is
The sum of the two integers is 23.
Explanation:
This can be written as
If
Divide both sides by x, and you will get
Now, you can substitute
Solve for x.
Plug 4 back into the original equation.