Question

Rutuja has Cds and cassettes which together number 40 if she has 5 CD more than 5 cassettes less the number of CDS become 4 times the number of cassettes find the original number of each

Answer 1

Let the number of cassettes = xLet the number of CD's = yAccording to given condition :Now, x + y = 40    .....1According to second condition :y+5 = 4x-5⇒y+5 = 4x - 20⇒-4x + y = -25⇒4x-y = 25    .....2Adding 1 and 2, e get5x = 65⇒x = 13Now, from 1, we get13 + y = 40⇒y = 40 - 13⇒y = 27So, original number of cassettes = 13original number of CD's = 27