Linear Equation, Simultaneous equation. TANCET Quant Preparation. Ascent TANCET MBA Classes

Ascent Education - IIM, CAT, XAT, TANCET, MBA Entrance Training Classes  
 
TANCET '18 Classroom Program
 
Other Courses
 
Other Links
 
Contact Us
+91 44 4500 8484
+91 96000 48484
 
Facebook / Twitter / Blog / Videos
Follow Ascent Education's TANCET prep on Facebook   Follow Ascent's TANCET prep on Twitter   TANCET MBA prep blog   TANCET MBA prep videos   Google+

You are here: Home   CAT, XAT, TANCET Prep Questions  Linear Equations   Question 9

Math Problems : Simultaneous Equations

Question

Rajesh is 10 years younger to Baskar. 10 years back, Rajesh's age was two-thirds that of Baskar's. How old is Baskar now?
  1. 30
  2. 40
  3. 20
  4. 16
  5. 28

Correct Answer

Choice (2). 40

Explanatory Answers

Let the present age of Baskar be 'b' and that of Rajesh be 'r'.
So, r = b - 10 .... eqn (1).

10 years back Rajesh was (r - 10) years old. 10 years back Baskar was (b - 10) years old.

The question states that 10 years back Rajesh was two thirds as old as Baskar was.
i.e., (r - 10) = (2/3)*(b - 10) .... eqn (2).

Cross multiplying, we get 3(r - 10) = 2(b - 10)
or 3r - 30 = 2b - 20 .... eqn (2)

From eqn (1) we can substitute r as (b - 10) in eqn (2)
So, 3(b - 10) - 30 = 2b - 20
or 3b - 30 - 30 = 2b - 20
or b = 40.

The present age of Baskar is 40 years.


More Questions on Linear, Quadratic and Cubic Equations - Algebra


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

     
     
     
     
     
     
     
 


Add to del.icio.us Add to del.icio.us Stumble It Stumble It digg this digg this
XLRI | FMS | ISB
Disclaimer | Privacy Policy | Terms of Use | © 2002 - 16 Ascent Education. All rights reserved.