Given that the second of two numbers is 4 more than the first number.
The sum of the two numbers is 56.
We need to determine the two numbers.
The two numbers:
Let x denote the first number.
Let y denote the second number.
From the given, the relation between the two numbers can be written in equation as,
[tex]y=4+x[/tex] and
[tex]x+y=56[/tex]
Let us use the substitution method to determine the values of x and y.
Hence, substituting [tex]y=4+x[/tex] in the equation [tex]x+y=56[/tex], we get;
[tex]x+4+x=56[/tex]
[tex]2x+4=56[/tex]
[tex]2x=52[/tex]
[tex]x=26[/tex]
Thus, the value of x is 26.
Now, substituting [tex]x=26[/tex] in the equation [tex]y=4+x[/tex], we get;
[tex]y=4+26[/tex]
[tex]y=30[/tex]
Thus, the value of y is 30.
Therefore, the first number is 26 and the second number is 30.
