Today,Hector is 5 years older than his sister. In 5 years , he will be 3 times as old as she will be. How old are hectoe and his sister today?
please help me !!
How old are *hector* and his sister today?
H = s + 5
H + 5 = 3s
(s+5) + 5 = 3s
Solve for s, then H.
To solve this problem, we can use algebraic equations to represent the given information. Let's assume that Hector's age today is represented by "H" and his sister's age today is represented by "S".
We know that Hector is 5 years older than his sister, so we can write the equation:
H = S + 5
We are also given that in 5 years, Hector will be 3 times as old as his sister, so we can write the second equation:
H + 5 = 3(S + 5)
Now, we can solve these equations simultaneously to find the values of H and S.
Substituting the value of H from the first equation into the second equation, we get:
S + 5 + 5 = 3(S + 5)
S + 10 = 3S + 15
Simplifying this equation, we subtract S from both sides:
10 = 2S + 15
Next, we subtract 15 from both sides to isolate the variable:
-5 = 2S
Finally, we divide both sides by 2 to solve for S:
S = -5/2
Since age cannot be negative, we know that there was an error somewhere in our calculations. Please double-check the information provided and try again.