The sum of two numbers is 37. Their product is 312. What are the numbers?
2 Answers
Explanation:
Let the numbers be represented by
The sum of two numbers is
Their product is
Solving simultaneously;
From
Making
Substitute
Multiply through by
Solving the Quadratic Equation..
Using Factorization Method
The factors are,
Therefore;
By Grouping;
Factorizing;
Substituting the values of
When,
Similarly when,
Hence;
The two numbers are : 13 and 24
Explanation:
Let
sum =
and product
Subst.
Now ,
So, from
Hence the two numbers are : 13 and 24