Answer:
x = 49; y = 38
Step-by-step explanation:
This can be solved with simultaneous equations;
Let the first number be x and the second be y.
If their difference is 11 then
⇒ [tex]x - y = 11[/tex]
If their sum is 87 then
⇒ [tex]x + y = 87[/tex]
If we add these two equations together, we can eliminate y;
⇒ [tex]2x = 98[/tex]
⇒ [tex]x = 49[/tex]
Now substitute into either equation;
⇒ [tex](49) - y = 11[/tex]
⇒ [tex]y = 38[/tex]
Answer:
38 and 49
Step-by-step explanation:
Let the numbers be x and y
Given that the difference of the numbers is 11, we can write:
x - y = 11 -------- (eq 1)
Also given that their sum is 87, we can write:
x + y = 87 --------(eq 2)
we now have a system of 2 equations with two unknowns.
Solving by elimination:
(eq 1) + (eq 2)
(x-y) + (x+y) = 11 + 87
x - y + x +y = 98
2x = 98 (divide both sides by 2)
x = 98/2 = 49 (answer)
substituting this into equation 2
x + y = 87
49 + y = 87 (subtract 49 from both sides)
y = 87 - 49
y = 38 (answer)
