# 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

- x + 3 = 47
- 2x + 3 = 47
- x - 3 = 47
- 2x - 3 = 47
- 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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