Question 55

Two students appeared for an examination. One of them secured 16 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

Solution

Let marks scored by 1st student = $$x$$

=> Marks scored by another student = $$(x + 16)$$

According to question, => $$(x + 16) = \frac{75}{100} \times (x + x + 16)$$

=> $$x + 16 = \frac{3}{2} \times (x + 8)$$

=> $$2x + 32 = 3x + 24$$

=> $$x = 32 - 24 = 8$$

$$\therefore$$ Marks scored by other student = 8 + 16 = 24

=> Ans - (D)

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