Question

Question /

Alice is three more than twice Emma's age. The sum of their ages is 48. How old is Alice?

Answer 1

Alice is 33 years old.

Explanation:

Alice is 3 more than twice Emma's age:

E = Emma

A = Alice

A = 3 + 2E

Sum = 48 years

So,

A + E = 48

(3+ 2E) + E = 48

3 + 2E + E = 48

3 + 3E = 48 (-3 both sides)

3E = 45

E = 45/3

E = 15

Emma is 15 years old.

A = 3 + 2E

A = 3 + 2(15)

A = 3 + 30

A = 33

Alice is 33 years old.