Question

If Sid had scored 16 less marks in the test he would have scored exactly double the marks that Susan scored in the test. The marks of Sid and Susan combined equals 421 What were the marks scored by Sid in the test?

Answer 1

Answer: Sid scored 286 marks and Susan scored 135 marks

Step-by-step explanation:

Let the marks scored by Sid be x and marks scored by Susan be y.

Combined marks of Sid and Susan = x + y

  421  = x + y

Sid's marks - 16  = 2 × Susan's marks

 x - 16 =  2y

⇒ x - 16 = 2(421 - x)

⇒ x - 16 = 842 - 2x

⇒ 3x  =  858

⇒ x  = 286

y = 421 - x

⇒ y = 421 - 286

⇒ y  =  135

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