jm2817495 jm2817495
  • 01-09-2020
  • Mathematics
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Question /
Alice is three more than twice Emma's age. The sum of their ages is 48. How old is Alice?

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parallax420
parallax420 parallax420
  • 01-09-2020

Answer:

Alice is 33 years old.

Step-by-step 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.

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