Question

The sum of two numbers is 9 If one number is 3 subtracted from the​ other, the result is Find the numbers.

Answer 1

one number = 3 ; other number = 6

(x = 3 ; y = 6)

Explanation:

here is the written problem in an algebraic form:

(x is one number, y is the other number)

x = y - 3 {"if one number is 3 subtracted from the other..."}

x + y = 9 {"The sum of two numbers is 9"}

substitute [x = y-3] into [x + y =9]

x + y = 9 ; {x = y - 3}

(y - 3) + y = 9 [substitute known x-value into equation]

y - 3 + y = 9

+ 3 + 3 [add 3 to isolate y]

2y = 12

÷2 ÷2 [divide by 2 to find y]

y = 6

Now, by plugging our y-value (6) into one of the equations:

x + y = 9

x + 6 = 9 [substitute the y-value, which we know is 6]

-6 -6

x = 3

so, one number is 3, and the other number is 6

Answer 2

x, y - the numbers
The sum of the two numbers is 9.
1+4=9
If one number is subtracted from the other, the
result is 3.
- 4=3
Solve the system of equations:
2+y
9
- I
= 3
2.1
+ =6
+y=9
6+4=9 1-6
4 =
- 3
The numbers are 6 and 3.