asked 61.4k views
1 vote
Lauren’s age is half of Joe’s age. Emma is four years old than Joe. The sum of Lauren, Emma, and Joe’ age is 54. How old is Joe?

asked
User Ernelli
by
8.3k points

1 Answer

3 votes
Let:
Joe = x
Lauren = y
Emma = a

y= x/2
Therefore, 2y = x......1

a = x+4
But, since x = 2y,
Then, a = 2y+4........2

y + x + a = 54

y + 2y + 2y+4 = 54
5y + 4 = 54
5y = 54 - 4
5y = 50
y = 10

Subs y=10 into x=2y

x=2(10)
x=20

Therefore, Joe is 20 years old.
answered
User Mownier
by
8.4k points
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