Answer: Brother = 31, sister = 26
Step-by-step explanation:
first, take 57, and minus the difference of the ages (5) = 52. divide that between both of them, getting 26, and 26. Since the brother is 5 years older, add 5 to one of the 26's and you get 26, and 31.
Check if its correct: 26+31=57
We can make formulas for this.
Assume x=male age and y=female age.
From this problem, we know that x+y=57 and x-5=y since the brother is older. We can do substitution and plug in the second formula into the first.
x+(x-5)=57
2x-5=57 Add like terms (x)
2x=62 Isolate
x=31
Then plug this into the original to find out y.
x+y=57
31+y=57
y=26
