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

---

More Questions on Linear, Quadratic and Cubic Equations - Algebra

CAT, XAT, TANCET Practice Questions and Answers : Listed Topicwise

Number Theory		Permutation Combination		Probability		Inequalities
Geometry		Mensuration		Trigonometry		Coordinate Geometry
Percentages		Profit Loss		Ratio Proportion		Mixtures Alligation
Speed Time Distance		Pipes Cisterns		Interest		Races
Average, Mean		AP, GP, HP		Set Theory		Clocks Calendars
Algebra		Function		English Grammar		General Awareness
Data sufficiency		TANCET Papers		XAT Papers