# Easy Algebra Solved QuestionAptitude Discussion

 Q. Jay has with him a total of Rs 29 in 5-rupee and 2-rupee denominators. The number of 5-rupee notes in one-half of one less than the number of 2-rupee notes. How many 5-rupee notes and 2-rupee notes does Jay have respectively?
 ✖ A. 7,3 ✔ B. 3,7 ✖ C. 2,5 ✖ D. 5,2

Solution:
Option(B) is correct

Let $x$ be the 5-rupee notes and $y$ be the number of 2-rupee notes.

$5x+2y=29$-------- (i)

$x=\dfrac{y-1}{2}$

$2x-y=-1$-------- (ii)

On solving both the equation we get:

$x =\textbf{3}$ and $y =\textbf{7}$

Edit: For an alternative approach making use of the option choices, check comment by Sravan Reddy.

## (1) Comment(s)

Sravan Reddy
()

Kill it in 10 sec:

=> Possible options: (3,7) and (2,5).

By calculating only 3,7 adds up to 29