Question

Marcia, Jan, and Sydney are sisters Jan is twice as old as Sydney. Marcia is two years older than Jan. Altogether the ages are up to 37. How old is each sister?

Answer 1

Answer:

Step-by-step explanation:

m + j + s = 37

j = 2s......s = j/2 or 1/2j

m = j + 2

(j + 2) + j + (1/2j) = 37

2j + 1/2j = 37 - 2

2j + 1/2j = 35....multiply everything by 2 to get rid of the fraction

4j + j = 70

5j = 70

j = 70/5

j = 14 < ==== Jan is 14

m = j + 2

m = 14 + 2

m = 16 <==== marcia is 16

s = 1/2j

s = 1/2(14)

s = 14/2

s = 7 <==== sydney is 7