Question

Jenny is 12 years older than Steve. Five years ago, Jenny was four times older than Steve was then. How old are Jenny and Steve now? PLS I BEG U HELP ASAP

Answer 1

By creating equations based on the age difference and the condition from five years ago and then solving the system of equations, we find that Jenny is currently 21 years old and Steve is 9 years old.

Step-by-step explanation:

Let's define the current age of Jenny as J and the age of Steve as S. From the problem, we know that Jenny is 12 years older than Steve, so we can write the first equation:

J = S + 12

Five years ago, Jenny's age was J - 5 and Steve's age was S - 5. According to the problem, at that time, Jenny was four times older than Steve, which translates to the second equation:

J - 5 = 4(S - 5)

Now we have a system of equations that we can solve:

1. J = S + 12
2. J - 5 = 4(S - 5)

Substitute the first equation into the second:

(S + 12) - 5 = 4(S - 5)

Simplify the equation:

S + 7 = 4S - 20

Now solve for S:

S + 7 = 4S - 20

20 + 7 = 4S - S

27 = 3S

S = 9

Now, we can find Jenny's age by substituting S back into the first equation:

J = 9 + 12 = 21

Jenny is 21 years old and Steve is 9 years old.