Answer:
Deborah is 31; Sarah is 27.
Step-by-step explanation:
Question:
"Deborah is x years old and Sarah is why is the sum of their ages is 58 if Deborah is 4 years older than Sarah find the ages of both women."
"sorry it is y years old."
Solution:
Deborah's age = x
Sarah's age = y
The sum of their ages is 58
x + y = 58
"Deborah is 4 years older than Sarah"
x = y + 4
We have a system of two equations.
x + y = 58
x = y + 4
The second equation is already solved for x, so we can use the substitution method.
Rewrite the first equation, and then rewrite it again substituting y + 4 for x.
x + y = 58
y + 4 + y = 58
2y + 4 = 58
2y = 54
y = 27
Now use the second original equation to solve for x.
x = y + 4
x = 27 + 4
x = 31
x = 31; y = 27
Deborah is 31; Sarah is 27.
