Question

Cynthia is 6 times as old as Rebecca. In 6 years, Cynthia will be only 3 times as old as Rebecca. How old is Rebecca now?

Answer 1

16 y.o

Explanation:

say rebecca = x

therefore, cynthia = 6x

when rebecca ages 6 years (x+6), cynthia will be 3(x+6) years old

since cynthia's original age + 6 will be equal to the new expression of her age after 6 years

3x + 18 = 6x + 6

18 = 3x + 6

3x = 12

x = 4

as cynthia = x + 6 (NOTE: AT THE BEGINNING) her original age was 10.

however after 6 years she's 16