Please help!!
Suzie is five years older than paul. She is 7 years older than peter. The sum of their ages is 21. How old is each person.
a+b=36
a=b+30
b+30+b=36
2b+30=36
2b=6
b=3
a=3+30
a=33
Adam is 33, Alyssa is 3
To solve this problem, let's assign variables to each person's age.
Let Paul's age be "x".
Since Suzie is five years older than Paul, her age will be "x + 5".
Since Suzie is seven years older than Peter, Peter's age will be "x + 5 - 7" or simply "x - 2".
According to the problem, the sum of their ages is 21, so we can write an equation:
x + (x + 5) + (x - 2) = 21
Now, we can solve this equation to find the value of "x" and determine the ages of each person:
3x + 3 = 21 (Combine like terms)
3x = 18 (Subtract 3 from both sides)
x = 6 (Divide both sides by 3)
So, Paul is 6 years old.
Suzie's age (x + 5) = 6 + 5 = 11 years old.
Peter's age (x - 2) = 6 - 2 = 4 years old.
Therefore, Paul is 6 years old, Suzie is 11 years old, and Peter is 4 years old.