Answer:
The two numbers are 9 and 5.
Step-by-step explanation:
The question is:
The sum of two numbers is 14, adding 1 to the greatest gives twice the smallest which are the two numbers. if it can be explained please
Solution:
Denote the two numbers by x and y.
It is provided that:
[tex]x+y=14...(i)[/tex]
Also,
[tex]x+1=2y\\\Rightarrow x-2y=-1...(ii)[/tex]
Solve the equations (i) and (ii) by the substitution method as follows:
In equation (ii) substitute x = 14 - y and solve for y:
[tex]x-2y=-1\\14-y-2y=-1\\-3y=-1-14\\-3y=-15\\y=5[/tex]
Substitute y in equation (i) and solve for x as follows:
[tex]x+y=14\\x+5=14\\x=14-5\\x=9[/tex]
Thus, the two numbers are 9 and 5.
