Question

In a bag containing white and red balls, half the number of white balls is equal to the one third the number of red balls. Twice the total number of balls exceeds three times the number of red balls by 8. How many balls of each type does the bag contain?NCERT Class XMathematics - Exemplar ProblemsChapter _QUESTION PAPER SET II

Answer 1

Let no. of white balls be x and that of red be y balls.


A/Q :  x/2 = y/3  ⇒ 3x = 2y    ⇒  x = 2/3 y ......(1)
and 2(x+y) = 3y + 8 ⇒ 2x + 2y = 3y + 8 ⇒ 2x = y +8  ...........(2)

From (1)  ⇒ 2(2y/3) = y + 8 ⇒ 4y/3 = y+8 ⇒ y/3 = 8 ⇒ y = 24

That fetches x = 2 x 24 /3 = 16

White balls = 16 ,  Red balls = 24

Hope my solution is correct.