Let e represent Emma’s age and s represent Emma’s sister’s age.
e + s = 48
2s - 6 = e
2s - 6 + s = 48
3s - 6 = 48
We add 6 to both sides to eliminate it:
3s = 54
Finally, we divide both sides by the coefficient:
s = 18
Therefore, Emma’s sister is 18 years old. Let’s plug that in to find Emma’s age:
48 - 18 = 30
E = 30
S = 18
Therefore, Emma is 30 years old, and her sister is 18 years old.
