The two numbers are 4.95 and 2.25.
Let the two numbers be x and y. Given conditions,
[tex]x+y = 7.2[/tex] ...............................(1)
[tex]x-y = 2.7[/tex]................................(2)
Adding equations (1) and (2), we get
[tex]LHS = x+y+x-y = (2x - y+y) = 2x\\RHS=7.2+2.7 = 9.9[/tex]
Therefore [tex]2x = 9.9; x=9.9/2 = 4.95[/tex]
x=4.95 .......................(3)
Substituting value of x from (3) in (1), we get
[tex]x+y = 7.2\\4.95+y=7.2\\y=7.2-4.95 = 2.25[/tex]
y=2.25 ........................(4)
From (3) and (4), the two numbers are 4.95 and 2.25.
Answer:
The two numbers are 4.95 and 2.25.
Explanation:
Let the two numbers be x and y. Given conditions,
...............................(1)
................................(2)
Adding equations (1) and (2), we get
Therefore
x=4.95 .......................(3)
Substituting value of x from (3) in (1), we get
y=2.25 ........................(4)
From (3) and (4), the two numbers are 4.95 and 2.25.