Answer:
The answer to your question is x = 36, y = 11
Step-by-step explanation:
Data
there are 2 numbers
their sum is 47
one is larger by 25
x is the larger
y is the smaller
Process
1.- Write two equations that help to solve this problem
x + y = 47 Equation l
x = y + 25 Equation ll
2.- Solve the system of equation by substitution. Substitute Equation ll in equation l
(y + 25) + y = 47
-Solve for y
y + 25 + y = 47
2y = 47 - 25
2y = 22
y = 22/2
y = 11
- Find x, substitute y in equation ll
x = 11 + 25
x = 36
Answer: the smaller number is 11. The larger number is 36
Step-by-step explanation:
Let x represent the larger number.
Let y represent the smaller number.
The sum of the two numbers is 47. It means that
x + y = 47- - - - - - - - - - -1
If the larger number is 25 more than the other number, the expression would be
x = y + 25
Substituting x = y + 25 into equation 1, it becomes
y + 25 + y = 47
2y + 25 = 47
2y = 47 - 25
2y = 22
y = 22/2
y = 11
x = y + 25 = 11 + 25
x = 36
