Carol is five times as old as her brother. She will be three times asold as her brother in two yrs.How old is carol now?

Answer 1

c = 5b
c+2 = 3(b+2)

c+2 = 3(c/5 + 2)
c+2 = 3c/5 + 6
2c/5 = 4
c = 4*5/2
c = 10

Check:

Carol is now 10, brother is 2
in two years,
Carol is 12, brother is 4