TANCET 2008 Quant Question 2 : Framing Equation

Question

Jack has three more cards than Bill. Together they have 47 cards. If x represents the number of cards Bill has, then an equation that can be used to determine the number of cards each one has is

1. x + 3 = 47
2. 2x + 3 = 47
3. x - 3 = 47
4. 2x - 3 = 47
5. 3x + 3 = 47
   
   

Correct Answer : 2x + 3 = 47. Choice (2)

Explanatory Answer

Bill has x cards.

Jack has 3 more cards than Bill. So, Jack has x + 3 cards.

So, together Bill and Jack have x + x + 3 = 2x + 3 cards.

The question states that they have 47 cards between them.

So, 2x + 3 = 47.

Level of difficulty : Very Easy

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