Karin's present age is 3/2 that of Jay's. In 5 years, Karin will be 7/5 that of Jay's age. How old was Karin 6 yrs ago?

Question

 Please show all work, thanks.

Answer 1

Let Karin's age be K, and Jay's be J

present: k=(3/2)j=1.5 j

after 5 yr: k+5=1.4(j+5)

1.5j +5=1.4j +7

0.1 j =2

j=20 yr

k=1.5j=(1.5) 20=30 yr

6 yr ago:

Karin = 30-6= 24 yr and

Jay= 20-6=14 yr